What is an Antiderivative?
An antiderivative can be found by taking a derivative and turning it into that derivative's original function.

Definition of An Antiderivative
A function F is an antiderivative of f on an interval I if F'(x) = f(x) for all real numbers on the interval.

Representation of Antiderivatives
If F is an antiderivative of f on an interval, then G is an antiderivative of f on the interval if and only if G is of the form G(x)=F(X)+c, for all real numbers in the interval where C is a constant.

Antidifferentiation is also known as Indefinite Intergration

Basic Intergration Rules
The basic form of Intergration is as follows.


A table of Basic Integration Rules can be found on the inside cover of your textbook.

Larson, Hostetler, Edwards, Calculus Eighth Edition pg.(248-254)

Example