1 8.2: Trig IntegralsBy now, you should be able to integrate the basic trig functions and know the appropriate identitiesfor integrating the squares of the trig functions. To integrate higher powers of trig functions, the keyis, if possible, to “save” a derivative du of a trig function u and rewrite the rest of the integral in termsof u.Examples:ˆsin3x dx =ˆπ/40tan2x sec4x dx =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.1Examples:Computeˆπ−πsin(3x) cos(5x) dxOn Beyond Average:ˆcos4x dx =ˆcsc6x dx
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