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Question

Solve the integral:-
cos3xsin5xdx=?

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Solution

cos3xsin5xdx

=cosxcos2xsin5xdx

=cosx(1sin2x)sin5xdx

=(sin5xsin7x)cosxdx

Let t=sinxdt=cosxdx

=(t5t7)dt

=t66t88+c

=sin6x6sin8x8+c


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