# What is the formula of anti derivative?

## What is the formula of anti derivative?

An antiderivative of a function f(x) is a function whose derivative is equal to f(x). That is, if F′(x)=f(x), then F(x) is an antiderivative of f(x).

**What is an example of antiderivative?**

ddx(sinx)=cosx, so F(x)=sinx is an antiderivative of cosx. Therefore, every antiderivative of cosx is of the form sinx+C for some constant C and every function of the form sinx+C is an antiderivative of cosx.

### What are the rules of Antidifferentiation?

The antiderivative rules of the six trigonometric functions are as follows:

- ∫sin x dx = -cos x + C.
- ∫cos x dx = sin x + C.
- ∫tan x dx = ln |sec x| + C.
- ∫cot x dx = ln |sin x| + C.
- ∫sec x dx = ln |sec x + tan x| + C.
- ∫csc x dx = ln |cosec x – cot x| + C.

**What is the antiderivative of 2x?**

The (most) general antiderivative of 2x is x2+C .

#### What is the antiderivative of COSX?

sinx

Again, people memorize that the antiderivative of cosx is sinx.

**What is antiderivative in simple terms?**

Antiderivatives are the opposite of derivatives. 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.

## What is the difference between integration and Antidifferentiation?

The former, (Riemann) integration, is roughly defined as the limit of sum of rectangles under a curve. On the other hand, antidifferentiation is purely defined as the process of finding a function whose derivative is given.

**Are antiderivatives and integrals the same?**

In additionally, we would say that a definite integral is a number which we could apply the second part of the Fundamental Theorem of Calculus; but an antiderivative is a function which we could apply the first part of the Fundamental Theorem of Calculus.

### What is the antiderivative of sin2x?

Answer: The antiderivative of sin2 x is x/ 2 – (sinx cosx) / 2.

**What is the antiderivative of Sinx?**

–cosx

What is the antiderivative of sin. A lot of people just memorize that the antiderivative of sinx is simply –cosx.

#### Is antiderivative same as integral?

**Is anti derivative and integration same?**

## How do you calculate anti – derivative?

is a simple example of a differential equation. Solving this equation means finding a function y with a derivative f. Therefore, the solutions of Equation are the antiderivatives of f. If F is one antiderivative of f, every function of the form y = F(x) + C is a solution of that differential equation.

**How to find antiderivative calculator?**

Write down the function. F (x) = sin (x) Interval =[,2π]

### What is the difference between an antiderivative and an integral?

• Derivative is the result of the process differentiation, while integral is the result of the process integration. • Derivative of a function represent the slope of the curve at any given point, while integral represent the area under the curve. About the Author: Admin

**How to find general antiderivative?**

Find the general antiderivative of a given function.