methods of integration william gunther june 15 2011 in this we will go over some of the techniques of integration and when to apply them 1 simple rules so remember ...
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...Methods of integration william gunther june in this we will go over some the techniques and when to apply them simple rules so remember that is inverse operation dierentation thuse get a few for free sum dierence r f x g dx scalar multiplication cf c xn product rule cfor n above allows us integrate any polynomials roots only think don t yet know how luckily d ln from other knowledge about derivatives trig sin cos sec tan exponentials e examples u substitution notice if are functions then chain says z writing out better way let du meaning can trade substitute integral goal eliminate all occurrences your entire terms simplier example solve do by doing thus write following as problem was given want answer wedothe integrals with less exposition xcos set esin eu here expanding but th power rather annoying instead have done linear transformation note general not parts recall moving things around see integrating both sides renaming v dv our formula becomes udv uv vdu seperate into two one par...