Lesson 12

Integrals by Substitution

Review: Antiderivative Rules Def: We say F is an antiderivative for f if F'(x) = f(x). If f(x) is…

x

n

1 cos(x) sin(x) ex 1 x

…then an antiderivative is…

x n +1 except if n = –1 x (assuming the variable is x!)

1 n +1

sin(x) –cos(x) ex

ln x

(makes it work for x