Antiderivative

Definition of Antiderivative

A function F is called an antiderivative of f on an interval I if F’(x) = f(x) for all x in I.

Formula for the antiderivatives of powers of x

The general antiderivative of f(x) = xⁿ is

where c is an arbitrary constant.

Example:

Find the most general derivative of the function f(x) = x^–3

Solution:

Formulas for the antiderivatives of trigonometric functions

Example:

Find antiderivative of the function

Solution:

Rewrite the given function as follows:

Videos

Antiderivatives of powers of x -
In this video, Professor Edward Burger examines antiderivatives of powers of x.

Custom Search