**See also:** Antiderivative Antidote Anticipate Antigen Antithesis Antithetical Antibody Antipathy Anticipation Antiquity Antihero Antiquated Antics Antibiotic Anticipated Antisocial Anti Antiseptic Hero

**1.** The** Antiderivative** of

Antiderivative

**2.** Why are we interested in *Antiderivative*s? The need for *Antiderivative*s arises in many situations, and we look at various examples throughout the remainder of the text

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**3.** *Antiderivative*s are the opposite of derivatives

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**4.** An *Antiderivative* is** a function that reverses what the derivative does.** One function has many *Antiderivative*s, but they all take the form of a function plus an arbitrary constant

An, Antiderivative, Antiderivatives, All, Arbitrary

**5.** *Antiderivative*s are a key part of indefinite integrals.

Antiderivatives, Are

**6.** If** G (x)** is** continuous on [ a, b] and G ′ (x) = f (x) for all x ∈ (a, b),** then G is called an** Antiderivative** of f

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**7.** We can construct *Antiderivative*s by integrating.

Antiderivatives

**8.** Free ** Antiderivative** calculator - solve integrals with all the steps

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**9.** *Antiderivative* Formula** Anything that is the opposite of a function and has been differentiated in trigonometric terms** is known as an anti-derivative

Antiderivative, Anything, And, As, An, Anti

**10.** Both the *Antiderivative* and the differentiated function are continuous on a specified interval.

Antiderivative, And, Are

**11.** Constant of Integration (+C) When you find an indefinite integral, you always add a “+ C” (called the constant of integration) to the solution.That’s because you can have many solutions, all of which are the set of all vertical transformations of the ** Antiderivative**.

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**12.** For example, the ** Antiderivative** of 2x is x 2 + C, where C is a constant

Antiderivative

**13.** Find the ** Antiderivative** (cos(x)) Write the polynomial as a function of

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**14.** The answer is the ** Antiderivative** of the function.

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**15.** In the case of *Antiderivative*s,** the entire procedure is repeated with each function's derivative,** since** Antiderivatives are allowed** to differ by a constant

Antiderivatives, Are, Allowed

**16.** Integral** ( Antiderivative)** Calculator with Steps This online calculator will find the indefinite integral

Antiderivative

**17.** For a function f f and an ** Antiderivative** F, F, the functions F (x) + C, F (x) + C, where C C is any real number, is often referred to as the family of

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**18.** For example, since x 2 x 2 is an ** Antiderivative** of 2 x 2 x and any

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**19.** In complex analysis, a branch of mathematics, the *Antiderivative*, or primitive, of** a complex -valued function** g is a function whose** complex derivative** is g

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**20.** An *Antiderivative* of a function f is** a function whose derivative is f.** In other words, F is an *Antiderivative* of f if F' = f

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**21.** To find an *Antiderivative* for a function f, we can often reverse the process of differentiation

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**22.** For example, if f = x4, then an *Antiderivative* of f is F = x5, which can be …

An, Antiderivative

**23.** Finding *Antiderivative*s and indefinite integrals: basic rules and notation: reverse power rule

Antiderivatives, And

**24.** By gaining the ** Antiderivative** of Equation (9) and then combining it with Equations (7) and (8), the general relation of the improved Nishihara model when the associated flow law is adapted can be obtained finally as

Antiderivative, And, Associated, Adapted, As

**25.** Definition: A function F is called an ** Antiderivative** of f on an interval I if F ′(x) = f (x) for all x in I

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**26.** Because (sin x)′ = cos x, therefore F(x) = sin x is an ** Antiderivative** of f (x) = cos x

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**27.** *Antiderivative*s are found by integrating a function

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**28.** If the function in question is simple, it should be found in an *Antiderivative* table

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**29.** To find the anti-derivative of a particular function, find the function on the left-hand side of the table and find the corresponding *Antiderivative* in the right-hand side of the table.

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**30.** The *Antiderivative* of tanx is perhaps the most famous trig integral that everyone has trouble with

Antiderivative

**31.** What is the *Antiderivative* of tanx Let us take a look at the function we want to integrate.

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**32.** An ** Antiderivative** is a function that reverses what the derivative does

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**33.** One function has many *Antiderivative*s, but they all take the form of a function plus an arbitrary constant

Antiderivatives, All, An, Arbitrary

**34.** *Antiderivative*s are a key part of indefinite integrals

Antiderivatives, Are

**35.** Differentiation ** Antiderivative** derivative.

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**36.** *Antiderivative* is another name for the Integral (if by some misfortune you didnt know)

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**37.** ** Antiderivative** Calculator is a free online tool that displays the

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**38.** BYJU’S online ** Antiderivative** calculator tool makes the calculation faster, and it displays the integrated value in a fraction of seconds.

Antiderivative, And

**39.** Type the expression for which you want the *Antiderivative*

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**40.** Then, click the blue arrow and select ** Antiderivative** from the menu that appears

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**41.** This calculator will solve for the ** Antiderivative** of most any function, but if you want to solve a complete integral expression …

Antiderivative, Any

**42.** The ** Antiderivative** of a function [latex]f[/latex] is a function with a derivative [latex]f[/latex]

Antiderivative

**43.** Why are we interested in *Antiderivative*s? The need for *Antiderivative*s arises in many situations, and we look at various examples throughout the remainder of the text

Are, Antiderivatives, Arises, And, At

**44.** It is easy to recognize an ** Antiderivative**: we just have to differentiate it, and check whether , for all in .

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**45.** We know *Antiderivative*s of both functions: and , for in , are *Antiderivative*s of and , respectively.So, in this example we see that the function is an ** Antiderivative** of .

Antiderivatives, And, Are, An, Antiderivative

**46.** ** Antiderivative** definition, indefinite integral

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**47.** Has an ** Antiderivative** de ned on all of

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**48.** There is no function F(z) which is analytic on C f 0gand is an ** Antiderivative** of 1 z

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**49.** An ** Antiderivative**, also called a primitive, as its name implies, is the opposite of a derivative in calculus.That is, it is a function for which the given function is the derivative

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**50.** It is important to note that there are an infinite number of *Antiderivative*s for every …

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**51.** It is easy to recognize an ** Antiderivative**: we just have to differentiate it, and check whether , for all in .

An, Antiderivative, And, All

**52.** We know *Antiderivative*s of both functions: and , for in , are *Antiderivative*s of and , respectively.So, in this example we see that the function is an ** Antiderivative** of .

Antiderivatives, And, Are, An, Antiderivative

**53.** This calculus video tutorial provides a basic introduction into *Antiderivative*s

Antiderivatives

**54.** The "indefinite integral" is the "*Antiderivative*", the inverse operation to the derivative.

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**55.** What is the ** Antiderivative** of #sec^2(x)#? Calculus Introduction to Integration Integrals of Trigonometric Functions

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**56.** Explanation: #d/dx(tanx) =sec^2x#, so #tanx# in an ** Antiderivative** of #sec^2x# and the general

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**57.** The ** Antiderivative** of a function is a function with a derivative Why are we interested in

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**58.** ** Antiderivative** Introduction Inde nite integral Integral rules Initial value problem Table of Contents JJ II J I Page2of15 Back Print Version Home Page 34.2.Inde nite integral Let f(x) = 2x

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**59.** The function F(x) = x2 is an ** Antiderivative** of f

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**60.** In fact, F(x) = x2 + C is an ** Antiderivative** of f for any

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**61.** The notation used to represent all *Antiderivative*s of a function f( x) is the indefinite integral symbol written , where .The function of f( x) is called the integrand, and C is reffered to as the constant of integration

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**62.** So F(x) is an ** Antiderivative** of f(x)

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**63.** By the power rule, an ** Antiderivative** would be F(x)=x+C for some constant C

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**64.** ** Antiderivative** for f(x)=1 x We have the power rule for

Antiderivative, Antiderivatives

**65.** Antidifferentiation (also called indefinite integration) is the process of finding a certain function in calculus.It is the opposite of differentiation.It is a way of processing a function to give another function (or class of functions) called an *Antiderivative*

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**66.** The following conventions are used in the ** Antiderivative** integral table: c represents a constant.

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**67.** By applying the integration formulas and using the table of usual *Antiderivative*s, it is possible to calculate many function *Antiderivative*s integral.These are the calculation methods used by the calculator to find the indefinite integral.

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**68.** ** Antiderivative** (redirected from

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**69.** The ** Antiderivative** of a standalone constant is a is equal to ax

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**70.** A multiplier constant, such as a in ax, is multiplied by the ** Antiderivative** as it was in the original function

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**71.** Then, the ** Antiderivative** for f ∈ [a,b] is F (x) if and only if F (x) is a continuous function on the closed interval [a,b] and F ′ (x)= f (x) for all x ∈ (a,b)

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**72.** This is commonly named as “indefinite integral”, which is given below: Where, f (x) is the function on an interval I, F (x) is an ** Antiderivative** of f (x).

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**73.** I am sorry to tell you that there is no simple ** Antiderivative** for this expression

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**74.** Integral calculator is an online tool that calculates the ** Antiderivative** of a function

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**ANTIDERIVATIVE**

To find the anti-derivative of a particular function, **find the function on the left-hand side of the table and find the corresponding antiderivative in the right-hand side of the table**. For example, if the antiderivative of cos(x) is required, the table shows that the anti-derivative is sin(x) + c.

__Antiderivatives__ are the inverse operations of derivatives or the backward operation which goes from the derivative of a function to the original function itself in addition with a constant. **F ′ (x)= f (x)** for all x in an interval I.

An antiderivative is a function that **reverses what the derivative does**. One function has many antiderivatives, but they all take the form of a function plus an arbitrary constant. __Antiderivatives__ are a key part of indefinite integrals.

__Antiderivatives__ are related to definite **integrals** through the fundamental theorem of calculus: the definite **integral** of a function over an interval is equal to the difference between the values of an **antiderivative** evaluated at the endpoints of the interval. The discrete equivalent of the notion of **antiderivative** is antidifference.