" 11."int(0)^( pi)cos2x*log(sin x)dx...

" 11."int_(0)^( pi)cos2x*log(sin x)dx

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int_(0)^((pi)/(2))cos2x log sin xdx

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The value of the integral int_(0) ^(pi) cos 2 x log _(e) sin x dx is

int_(0)^(pi)log sin^(2)x dx=

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