log(cot(x)/(2))

int_(0)^((pi)/(2))(sin8x log(cot x))/(cos2x)dx

int_(0)^( pi/2)(sin8x log(cot x))/(cos2x)backslash dx is equal to

int_(0)^(pi//2) (sin 8x.log(cot x))/(cos 2 x)dx=

int_(0)^(pi//2)(sin 8x.log(cot x))/(cos 2x)dx=

int(1)/(1-cos x-sin x)dx=log|1+(cot x)/(2)|+C(b)log|1-(tan x)/(2)|+C (c) log|1-(cot x)/(2)|+C(d)log|1+(tan x)/(2)|+C

intdx/(cosx-sinx) is equal to (A) 1/sqrt(2)log|tan(x/2-(3x)/8)|+C (B) 1/sqrt(2)log|cot(x/2)|+C (C) 1/sqrt(2)log|tan(x/2-pi/6)|+C (D) 1/sqrt(2)log|tan(x/2+(3pi)/8)|+C

int(dx)/(cosx-sinx) is equal to a) (1)/(sqrt(2))log|tan(pi/2-pi/8)|+c b) (1)/(sqrt(2))log|cot(x/2)|+c c) (1)/(sqrt(2))log|tan(pi/2-(3pi)/(8))|+c d) (1)/(sqrt(2))log|tan(x/2+(3pi)/(8))|+c

The value of int_(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx , is

The value of int_(0)^(pi//2) (sin 8x log cot x)/(cos 2x)dx , is