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1 8 2 Trig Integrals By now you should be able to integrate the basic trig functions and know the appropriate identities for integrating the squares of the trig functions sin x dx sin2 x cos x dx cos2 x tan x dx tan2 x cot x dx cot2 x sec x dx sec2 x csc x dx csc2 x 1 To integrate higher powers of trig functions the key is if possible to save a derivative du of a trig function u and rewrite the rest of the integral in terms of u Examples sin3 x dx cos x tan7 x sec3 x dx 2 csc4 4x dx sin4 x dx 3 Key Identities to Compute Product to Sum Integrals sin A B cos A B These are extremely important in the study of Partial Differential Equations Examples Compute sin 3x sin 5x dx Compute sin 3x cos 5x dx 4
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