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" (3) "(pi)/(2)int(0)^((pi)/(sin2x)log t...

" (3) "(pi)/(2)int_(0)^((pi)/(sin2x)log tan xdx)

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int_(0)^((pi)/(2))sin2x*log(tan x)dx=

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

int_(0)^((pi)/(2))sin2x log tan xdx is equal to

int_(0)^((pi)/(2))log(sin2x)dx

int_(0)^( pi/2)log[tan x*cot x]dx

int_(0)^((pi)/(2))x sin x cos xdx

int_0^(pi/2)sin2x log(tanx)dx

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

int_(0)^(pi//2) sin 2x log tan x dx is equal to

int_(0)^(pi//2) sin 2x log tan x dx is equal to