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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
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Integration By Parts
The following formula relating to integrals of products of functions:
f (x)g'(x)dx = f (x)g(x)|ab -
f'(x)g(x)dx
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Partial Fraction Decomposition
A method for integrating rational functions by breaking them into into sums of simpler rational functions.