Change of Variables

The following relationship concerning integrals of compositions of functions:
f (u)du = f (g(x))g'(x)dx 

Integration By Parts

The following formula relating to integrals of products of functions:
f (x)g'(x)dx = f (x)g(x)_{a}^{b}  f'(x)g(x)dx 

Partial Fraction Decomposition

A method for integrating rational functions by breaking them into into
sums of simpler rational functions.