" 27."int_(0)^( pi/2)(sin2x)(log tan x)dx

int_(0)^(pi//2) sin 2 x.ln(tan x)dx

int_(0)^(pi//2) sin 2 x (tan x) dx=

int_0^(pi/2) sin 2x. Log (tan x ) dx =

int_(0)^( pi/2)ln(sin^(2)x cos x)dx

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

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

Prove that int_(0)^((pi)/(2))sin2x log tan xdx=0

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0

Prove that : int_(0)^(pi//2) (sin x-cos x)/(1+sin x cos x)dx=0 " (ii) Prove that " : int_(0)^(pi//2) sin 2x. log (tan-x) dx=0