Additional online resources
Trigonometric substition.
http://www.math.hmc.edu/calculus/tutorials/trig_substitution/
http://math.furman.edu/~dcs/book/c6pdf/sec66.pdf
http://www.intmath.com/Methods-integration/8_Integration-trigonometric-substitution.php
Partial Fractions
http://archives.math.utk.edu/visual.calculus/4/partial_fractions.2/int6.html
http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html
http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx
http://math.ucsd.edu/~wgarner/math10b/partialfractions.htm