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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.