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...Section advanced integration techniques trigonometric integrals we will use the following identities quite often in this you would do well to memorize them sin x cos cosx sec tan csc cot when attempting integrate a function built up from functions there are of ten many dierent possibilities for choosing an technique example can solve sinxcosxdx using u substitution same could be used nd tanxdx if note that tanx sinx by parts dx however other whose not evaluated so eas ily look at multiple handling several types trig m n form xcos tointegrate one two methods both powers and even rewrite otherwise only power or appears allow us make helpful k is odd then b examples find since has let s wewillneedthesubstitution du now nish problem udu c xdx have pythagorean identity try xcosx as previous simple set cosxdx no equation integral calculation fairly routine evaluate xsin write wehave already showed nally integrating secx cscx cotx tointegratepowersoftheothertrigfunctions wewilloftenneedtouseu...