Most general antiderivative calculator

In mathematics, an integral assigns numbers to functions in a way that describes ... These approaches based on the real number system are the ones most common ...2022. 9. 6. · multivariable calculus - Proof for the curl of a curl of a vector field The directional derivative of a scalar function = (,, ,)along a vector = (, ,) is the function defined by the limit = (+) ().This definition is valid in a broad range of contexts, for example where the norm of a vector (and hence a unit <b>vector</b>) Page 3/4.A <b>vector</b> <b>field</b> vec F is called a … does claire get pregnant again in outlander season 5 Step 1 to use an antiderivative calculator So, go to the Wolfram Alpha webpage first to get a hold of the calculator. Click on Wolfram Alpha and the link will directly take you to the page containing the antiderivative calculator. Therefore, on reaching the page, you find there is no specific small widget that you use as a calculator.2021. 10. 11. · Antiderivative Calculator: Knowing Calculus is a big obstacle for most of the trainees. The subject demands a detailed understanding of ideas. The subject takes care of location, volume, and price of change. It is mainly … mohawk manor bought by amazon Power is the integral of thrust with respect to velocity: P = int (Mdot*v)dv = 0.5*Mdot*v^2. Mass flow rate is ρAv, hence: T = ρAv^2 and. P = 0.5*ρAv^3. Or, rearranging gives:. Figure 8: Motor efficiency vs. thrust for 2300 Kv and 2450 Kv motor candidates. Iteration 4: Choosing a New Battery for Maximum Flight Time That Fits Our New Design. spendwell gift card (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.) f''(x)=-2+30x-12x^2. f(0)=7 f'(0)=18 f(x)= f''(theta)=sin(theta)+cos(theta), f(0)=5 f'(0)=3 f(x)= f''(x)=10+6x+24x^2, f(0)= 3, f(1)=13 f(x)= Question: Find the most general antiderivative of the function ... How to Use the Antiderivative Calculator? The procedure to use the antiderivative calculator is as follows: Step 1: Enter the function in the input field Step 2: Now click the button "Solve" to get the antiderivative Step 3: Finally, the antiderivative of a given function will be displayed in the new window What is Meant by the Antiderivative?An antiderivative calculator simplifies the computation of your task without erroneous attempts. The general antiderivative of f (x)=x n F (X)= [xn+1/n+1]+C x≠1 Where "C" is an Arbitrary Constant. Let learn to find the General Derivative of the function f (x)=x-3 F (x)= [x -3+1 /-3+1]+C F (x)= [x -2 /-2]+C F (x)= [-1/2x 2 ]+C for x≠0 combat craig bootcamp reviewAnswer (1 of 3): Essentially, you guess. We know the derivative of the exponential function is itself. However, by the chain rule, the derivative of e^(2x) is 2e^(2x). So this is almost right. How do we get rid of that 2 in front? Like this 1/2 * e^(2x) Done.Nov 24, 2021 · An antiderivative calculator simplifies the computation of your task without erroneous attempts. The general antiderivative of f (x)=x n F (X)= [xn+1/n+1]+C x≠1 Where “C” is an Arbitrary Constant. Let learn to find the General Derivative of the function f (x)=x-3 F (x)= [x -3+1 /-3+1]+C F (x)= [x -2 /-2]+C F (x)= [-1/2x 2 ]+C for x≠0 warhammer 40k weapon types What is an antiderivative calculator? Anti-derivative Calculator is an online tool used to calculate the value of a given indefinite integral. Integration can be used to find the area under a curve. It can also be used to determine the volume of a three-dimensional solid shape. most general antiderivative calculatorhalo the weapon ai voice actor. by . thailand national football team transfermarkt. April 11, 2022 ...Step 1 to use an antiderivative calculator So, go to the Wolfram Alpha webpage first to get a hold of the calculator. Click on Wolfram Alpha and the link will directly take you to the page containing the antiderivative calculator. Therefore, on reaching the page, you find there is no specific small widget that you use as a calculator.Buy Now: antiderivative calculator.best steamer mop, ngk bearing, womens coats sale, magnetic eyelashes canada, personalised gifts for kids,Moreover, you can now find a number of free online tools, including a math problem solver, an algebra calculator, and an antiderivative calculator. Let’s see how the antiderivative calculator works. How To Use This General Antiderivative Calculator? Finding the antiderivative of a function is now simpler than ever. ameris bank amphitheatre parking Examples: Find an antiderivative and then find the general antiderivative. 1. y 3 2. f x x2 3. 5 4 Notation: If we take the differential form of a derivative, dy fx dx, and rewrite it in the form dy f x dx we can find the antiderivative of both sides using the. In the past, we will have a difficult time integrating these three functions.Antiderivative (Integral) calculator is an online tool used to calculate the antiderivatives with steps. This integral calculator integrates the functions w.r.t a variable i.e., x, y, z, u, or t. This integration calculator evaluates the expressions of the indefinite integral as well as the definite integral with steps.most general antiderivative calculatorhalo the weapon ai voice actor. by . thailand national football team transfermarkt. April 11, 2022 ...Indefinite integral of the given function is called the set of all its antiderivatives: In order to calculate indefinite integral of the given function, one need to use integral table and integration rules or use our free online calculator. Calculator is able to find step by step solution for many types of the integrals. how to stop hair loss from zoloft find the most general antiderivative or indefinite integral calculator find the most general antiderivative or indefinite integral calculator Posted at 17:50h in cover letter for customer service specialist by greek risotto with fresh spinach and fetaSolve Antiderivative using our free online calculator. Calculate Antiderivatives and get step by step explanation for each solution. ndb spin oasis codes Our free anti-derivative calculator is provided by Mathway and will give the antiderivative of any expression. For full step-by-step work, you'll need to upgrade to their premium membership. Tips Type the expression for which you want the antiderivative. Then, click the blue arrowand select antiderivative from the menu that appears.A question in my Calculus book states, "Find the most general antiderivative or the indefinite integrals of the following": $$ \int \left( \frac{1}{2\sqrt x}-\frac{3}{x^4}+{4x} \right)dx $$ Can someone walk me through how to solve this type of problem? how to change the time on an avaya 2420 phone Antiderivative Calculator: Knowing Calculus is a big obstacle for most of the trainees. The subject demands a detailed understanding of ideas. The subject takes care of location, volume, and price…most general antiderivative calculator. Integrate does not do integrals the way people do. Instead, it uses powerful, general algorithms that often involve very sophisticated math. There are a couple. The antiderivative calculator allows to find antiderivative function, antiderivative integral or indefinite integral of a function using integration.Indefinite integral of the given function is called the set of all its antiderivatives: In order to calculate indefinite integral of the given function, one need to use integral table and integration rules or use our free online calculator. Calculator is able to find step by step solution for many types of the integrals. stair rise and run calculator inequality fractions calculator. Sign In. dr martens made in england vs solovair 0. longines fei jumping world cup 2021. ... find the most general antiderivative ...Take the antiderivative of the function Calculate the upper & lower limit of the function Determine the difference between both the limits If the antiderivative (indefinite integral) calculation is your concern, then take an online antiderivative calculator that quickly solves the antiderivative of the given function. Looks at the examples: Antiderivative Calculator Calculators, Maths / By ProtonsTalk The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About CalculatorThe above calculator finds the antiderivative of the function you provided with respect to the variable chosen. An antiderivative is used in the process of calculating an integral. It is exactly as its name implies: the opposite of a derivative. The derivative of an antiderivative of a function is the original function. inequality fractions calculator. Sign In. dr martens made in england vs solovair 0. longines fei jumping world cup 2021. ... find the most general antiderivative ... verizon executive relations contact ortlieb panniers sale; nokia stock prediction 2025 zwave devices zwave devicesScientific Calculator with Graphic Functions… 8.15. Buy on Amazon: 2: Texas Instruments TI-34 MultiView Scientific… 8.60. Buy on Amazon: 3: Casio fx-300ESPLUS2 2nd Edition, Standard… 8.15. Buy on Amazon: 4: Casio fx-115ESPLUS2 2nd Edition, Advanced… 8.25. Buy on Amazon: 5: Scientific Calculator with Graphic Functions… 8.80. Buy on ...Take the antiderivative of the function Calculate the upper & lower limit of the function Determine the difference between both the limits If the antiderivative (indefinite integral) calculation is your concern, then take an online antiderivative calculator that quickly solves the antiderivative of the given function. Looks at the examples: 4 person outdoor sauna Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graphWhat is Antiderivative. In mathematical analysis, primitive or antiderivative of a function f is said to be a derivable function F whose derivative is equal to the starting function. Denoting with the apex the derivative, F ' (x) = f (x). The set of all primitives of a function f is called the indefinite integral of f. golden town The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About Calculator. Here is some information on the above calculator. Inputs. Input 1.Antiderivative calculator finds the antiderivative of a function step by step with respect to a variable i.e., x, y, or z. This online integration calculator also supports upper bound and lower bound in case you are working with minimum or maximum value of intervals. With this integral calculator, you can get step by step calculations of:Find the Antiderivative 2x. 2x 2 x. Write 2x 2 x as a function. f (x) = 2x f ( x) = 2 x. The function F (x) F ( x) can be found by finding the indefinite integral of the derivative f (x) f ( x). F (x) = ∫ f (x)dx F ( x) = ∫ f ( x) d x. Set up the integral to solve. F (x) = ∫ 2xdx F ( x) = ∫ 2 x d x. Since 2 2 is constant with respect to ... geocel proflex Our free anti-derivative calculator provides Mathway and will give ... A function F(x) is called an antiderivative of f(x) if the most general ...Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph Buy the new arrival of derivative of integral calculator, up to 59% off, Only 3 Days. watch the morning show, nike womens clearance, rare earths china, ...Answer and Explanation: 1 The most general antiderivative of the function f(x) f ( x) is given by F (x) = ∫ f(x)dx F ( x) = ∫ f ( x) d x. Note that the most general antiderivative must contain the... tree myths and legends Differential Equations Calculator Get detailed solutions to your math problems with our Differential Equations step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here! dy dx = sin ( 5x) Go! . ( ) / ÷ 2 √ √ ∞ e π ln log log lim d/dx D x ∫ ∫ | | θOur free anti-derivative calculator is provided by Mathway and will give the antiderivative of any expression. For full step-by-step work, you'll need to upgrade to their premium membership. Tips Type the expression for which you want the antiderivative. Then, click the blue arrowand select antiderivative from the menu that appears.Antiderivative Calculator Antiderivative Calculator is a free online tool that displays the antiderivative (integration) of a given function. BYJU’S online antiderivative calculator tool makes the calculation faster, and it displays the integrated value in a fraction of seconds. How to Use the Antiderivative Calculator? tsukasa x male reader lemon Oct 11, 2021 · The above calculator discovers the antiderivative of the function you supplied concerning the variable chosen. An antiderivative utilized in the process of calculating an indispensable. It is precise as its name indicates: the opposite of a by-product. The by-product of an antiderivative of a feature is the original feature. collections close reader grade 7 answer key pdf Estimate your ATAR based on your predicted subject scores. ATAR Calculator allows you to estimate what your ATAR (Australian Tertiary Admission Rank) will be. To begin, select your state below: VCE. HSC. WACE.The above calculator finds the antiderivative of the function you provided with respect to the variable chosen. An antiderivative is used in the process of calculating an integral. It is exactly as its name implies: the opposite of a derivative. The derivative of an antiderivative of a function is the original function.find the most general antiderivative or indefinite integral calculator find the most general antiderivative or indefinite integral calculator Posted at 17:50h in cover letter for customer service specialist by greek risotto with fresh spinach and feta imei tracker mod apk Take the antiderivative of the function Calculate the upper & lower limit of the function Determine the difference between both the limits If the antiderivative (indefinite integral) calculation is your concern, then take an online antiderivative calculator that quickly solves the antiderivative of the given function. Looks at the examples: The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About Calculator. Here is some information on the above calculator. Inputs. Input 1.Where f(x) is the function and A is the area under the curve. Our free integrals calculator readily solves integrals and determines the area under the specified function. Well, now we are going to discuss the types of integrals: Types of Integrals: Basically, there are two types of integrals: Indefinite Integrals; Definite Integrals; Indefinite ...Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph number 1 high school football player in the nation 2022 An antiderivative is a function that reverses the effect of a derivative. A function has many antiderivatives, but all of them take the form of a function plus an arbitrary constant. Antiderivatives are a main part of indefinite integrals. Related calculators. Limits Calculator ; Definite Integrals Calculator ; Indefinite Integrals Calculator(Check your answer by differentiation. Use C for the constant of the antideriv G (t) 40.95 points SCalcs 3 9.523 XP 0/6 Submissions Used Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the ant fx) 6Vx 4 cos (x) F (x)- Need Help? unknown arris device on my network Estimate your ATAR based on your predicted subject scores. ATAR Calculator allows you to estimate what your ATAR (Australian Tertiary Admission Rank) will be. To begin, select your state below: VCE. HSC. WACE.Math; Calculus; Calculus questions and answers (1 point) Find the most general antiderivative for the function (7x4 (7x * - -3) 7 x3 - Note: Don't enter the +C. scp foundation vs nasuverse An antiderivative is a function that reverses the effect of a derivative. A function has many antiderivatives, but all of them take the form of a function plus an arbitrary constant. Antiderivatives are a main part of indefinite integrals. Related calculators. Limits Calculator ; Definite Integrals Calculator ; Indefinite Integrals CalculatorAn antiderivative calculator simplifies the computation of your task without erroneous attempts. The general antiderivative of f (x)=x n F (X)= [xn+1/n+1]+C x≠1 Where "C" is an Arbitrary Constant. Let learn to find the General Derivative of the function f (x)=x-3 F (x)= [x -3+1 /-3+1]+C F (x)= [x -2 /-2]+C F (x)= [-1/2x 2 ]+C for x≠02022. 10. 4. · In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f.This can be stated …An antiderivative is a function that reverses the effect of a derivative. A function has many antiderivatives, but all of them take the form of a function plus an arbitrary constant. Antiderivatives are a main part of indefinite integrals. Related calculators. Limits Calculator ; Definite Integrals Calculator ; Indefinite Integrals Calculator classic chapter books for 3rd gradersAntiderivative Calculator Calculators, Maths / By ProtonsTalk The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About Calculator Q: Find the most general antiderivative. dx x2 2x + C V 3x + C O 2V 2x- + C A: Given integration is : ∫xx+xx2dx To find the value of the integration. Q: Evaluate the integral. 20e V5x dx Select one: A. 10 e5x + C B. 45 ev5x + C C. 20 eV5x + C D. 5 e5x…The above calculator finds the antiderivative of the function you provided with respect to the variable chosen. An antiderivative is used in the process of calculating an integral. It is exactly as its name implies: the opposite of a derivative. The derivative of an antiderivative of a function is the original function. super deluxe samantha find the most general antiderivative of the function f(x)=x(2-x)^2 To find: The most general antiderivative of the function f(x)=x(12x+8) f ( x ). Now find the differentiation for the determined derivative F(x)=4×3+4×2+C F. Divide each term in the numerator by the term in the denominator. f(x) = x - x-1 + 2x-3.What is Antiderivative. In mathematical analysis, primitive or antiderivative of a function f is said to be a derivable function F whose derivative is equal to the starting function. Denoting with the apex the derivative, F ' (x) = f (x). The set of all primitives of a function f is called the indefinite integral of f. What is Antiderivative. In mathematical analysis, primitive or antiderivative of a function f is said to be a derivable function F whose derivative is equal to the starting function. Denoting with the apex the derivative, F ' (x) = f (x). The set of all primitives of a function f is called the indefinite integral of f. new nbc10 meteorologist brian james Buy the new arrival of derivative of integral calculator, up to 59% off, Only 3 Days. watch the morning show, nike womens clearance, rare earths china, ...Estimate your ATAR based on your predicted subject scores. ATAR Calculator allows you to estimate what your ATAR (Australian Tertiary Admission Rank) will be. To begin, select your state below: VCE. HSC. WACE.The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About Calculator. Here is some information on the above calculator. Inputs. Input 1. In the input field, type the function. 3d plane grapher 2017. 8. 2. · Get information Here: . To get conic information eg. radius, vertex, ecentricity, center, Asymptotes, focus with conic standard form calculator.Enter an equation above eg. y=x^2+2x+1 OR x^2+y^2=1 Click the button to Solve! Conics Section calculator is a web calculator that helps you to identify conic sections by their equations. . TI-84 calculator emulator. solve by …Antiderivative (Integral) calculator is an online tool used to calculate the antiderivatives with steps. This integral calculator integrates the functions w.r.t a variable i.e., x, y, z, u, or t. This integration calculator evaluates the expressions of the indefinite integral as well as the definite integral with steps.2022. 9. 6. · multivariable calculus - Proof for the curl of a curl of a vector field The directional derivative of a scalar function = (,, ,)along a vector = (, ,) is the function defined by the limit = (+) ().This definition is valid in a broad range of contexts, for example where the norm of a vector (and hence a unit <b>vector</b>) Page 3/4.A <b>vector</b> <b>field</b> vec F is called a …find the most general antiderivative or indefinite integral calculator find the most general antiderivative or indefinite integral calculator Posted at 17:50h in cover letter for customer service specialist by greek risotto with fresh spinach and feta 1861 remington revolver conversion Add it constantly to a given antiderivative in case of f (x) is the function of antiderivativeF (x). An antiderivative calculator simplifies the computation of your task without erroneous attempts. The general antiderivative of f (x)=x n. F (X)= [xn+1/n+1]+C x≠1. Where “C” is an Arbitrary Constant. Let learn to find the General Derivative ...(Check your answer by differentiation. Use C for the constant of the antideriv G (t) 40.95 points SCalcs 3 9.523 XP 0/6 Submissions Used Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the ant fx) 6Vx 4 cos (x) F (x)- Need Help?Nov 24, 2021 · An antiderivative calculator simplifies the computation of your task without erroneous attempts. The general antiderivative of f (x)=x n F (X)= [xn+1/n+1]+C x≠1 Where “C” is an Arbitrary Constant. Let learn to find the General Derivative of the function f (x)=x-3 F (x)= [x -3+1 /-3+1]+C F (x)= [x -2 /-2]+C F (x)= [-1/2x 2 ]+C for x≠0 systems of equations review answer key 1 day ago · The above calculator finds the antiderivative of the function you provided with respect to the variable chosen. An antiderivative is used in the process of calculating an integral. It is exactly as its name implies: the opposite of a derivative. The derivative of an antiderivative of a function is the original function. gl7 pay scale Antiderivative calculator with steps. Antiderivative calculator finds the antiderivative of a function step by step with respect to a variable i.e., x, y, or z.This online integration calculator also supports upper bound and lower bound in case you are working with minimum or maximum value of intervals.. With this integral calculator, you can.2020. 9. 10. ... Using the online integral calculator is very easy, just enter the equation you ... The concept of a specific integral and the calculation ...The General Antiderivative Calculator is a free online application that displays a function’s antiderivative. The online antiderivative calculator tool from Protontalk speeds up the calculation and displays the integrated value in a matter of seconds. About Calculator. Here is some information on the above calculator. Inputs. Input 1. how to install img file on android without root Moreover, you can now find a number of free online tools, including a math problem solver, an algebra calculator, and an antiderivative calculator. Let’s see how the antiderivative calculator works. How To Use This General Antiderivative Calculator? Finding the antiderivative of a function is now simpler than ever.Take the antiderivative of the function Calculate the upper & lower limit of the function Determine the difference between both the limits If the antiderivative (indefinite integral) calculation is your concern, then take an online antiderivative calculator that quickly solves the antiderivative of the given function. Looks at the examples: free certified nursing assistant training 1 Step 1 Enter your set of numbers in the input field. 2 Step 2 Press Enter on the keyboard or on the arrow to the right of the input field. 3 Step 3 In the pop-up window, select “Find the Antiderivative”. You can also use the search. What is AntiderivativeIndefinite integral of the given function is called the set of all its antiderivatives: In order to calculate indefinite integral of the given function, one need to use integral table and integration rules or use our free online calculator. Calculator is able to find step by step solution for many types of the integrals.d ( x 3) d x = 3 x 2 and d ( x 3 + 7) d x = 3 x 2. The most general antiderivative of f is F ( x) = x 3 + C, where c is an arbitrary constant. As you will begin to see, Every continuous function has an antiderivative, and in fact has infinitely many antiderivatives. Two antiderivatives for the same function f ( x) differ by a constant.Our free anti-derivative calculator is provided by Mathway and will give the antiderivative of any expression. For full step-by-step work, you'll need to upgrade to their premium membership. Tips Type the expression for which you want the antiderivative. Then, click the blue arrowand select antiderivative from the menu that appears. who owns faulkner car dealerships Estimate your ATAR based on your predicted subject scores. ATAR Calculator allows you to estimate what your ATAR (Australian Tertiary Admission Rank) will be. To begin, select your …Find the Antiderivative 2x. 2x 2 x. Write 2x 2 x as a function. f (x) = 2x f ( x) = 2 x. The function F (x) F ( x) can be found by finding the indefinite integral of the derivative f (x) f ( x). F (x) = ∫ f (x)dx F ( x) = ∫ f ( x) d x. Set up the integral to solve. F (x) = ∫ 2xdx F ( x) = ∫ 2 x d x. Since 2 2 is constant with respect to ...Examples: Find an antiderivative and then find the general antiderivative. 1. y 3 2. f x x2 3. 5 4 Notation: If we take the differential form of a derivative, dy fx dx, and rewrite it in the form dy f x dx we can find the antiderivative of both sides using the. In the past, we will have a difficult time integrating these three functions. how to make your phone impossible to track by police The Integral Calculator supports all the common integration methods and displays the entire integration ... Our Integral Calculator is very easy to use.How to Use This General Antiderivative Calculator? When you are struggling with the integral value of the function, an antiderivative calculator is much helpful. The process of finding this kind of calculator’s function is known as integration. In other words, the reverse process of differentiation is called integration.x2 2 − 7x + C Explanation: The general antiderivative of f (x) is F (x) + C, where F is a differentiable function. All that means is that if you differentiate the antiderivative, you get the original function - so to find the antiderivative, you reverse the process of finding a derivative. Sound confusing? Easier done than said. colonoscopy and liver cirrhosis Options. The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported. Free antiderivative calculator - solve integrals with all the steps. Type in any integral to get the solution, steps and graph clerk of courts broward county Buy Now: antiderivative calculator.mattress protectors, small house interior design, baby alpaca, bum bag lv, salford city fc, playcraft pontoon houseboat Options. The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported. Antiderivatives also go by the name integral. Antiderivative calculator The Antiderivative Calculator is hands down the finest tool when it comes to finding the integrals of mathematical functions....An antiderivative is a function that reverses the effect of a derivative. A function has many antiderivatives, but all of them take the form of a function plus an arbitrary constant. Antiderivatives are a main part of indefinite integrals. Related calculators. Limits Calculator ; Definite Integrals Calculator ; Indefinite Integrals Calculator overlord fanfiction oc dragon