prove the following integrals:

a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x)

i know i have asked this question before but i am very confused bobpursley, can you please show me the steps of proves.
thanks in advanced

1 answer

This is all trig.
Sum formulas for sine and cosine
sin (s + t) = sin s cos t + cos s sin t

cos (s + t) = cos s cos t – sin s sin t

Use those formulas on the left, simplify, then do the integral. Is is mostly messy algebra, and a minimal amount of calculus.
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