int(0)^( pi/2)(2log sin x-log sin2x)dx=(...

int_(0)^( pi/2)(2log sin x-log sin2x)dx=(-x)/(2)log e^(2)

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int_(0)^((pi)/(2))(2log cos x-log sin2x)dx

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The value of int_(0)^(pi//2) (2log sin x-log sin 2x)dx , is

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

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