`int ( 1- cot x)/(1+cot x)dx`

int (x)/(1-x cot x)dx=

int(dx)/(1+cot x)1+cot x

If (cot x+(cot^(2)x)/(2)+(cot^(3)x)/(3)+...+(cot^(99)x)/(99))+ int(1+cot x)(1+cot^(99)x)dx =-lambda[int cot^(2)xdx+int cot^(3)xdx+int cot^(4)xdx+...+int cot^(98)xdx] , then value of lambda is equal to

inte^(x) ( 1- cot x + cot^(2) x) dx is eqal to

int (1+ cot x)/(x+ log sin x)dx

int (x+ cot x)cot^(2) x dx

int(1+cos4x)/(cot x-tan x)dx

int(1+cos4x)/(cot x-tan x)dx

Evaluate: int(1+cot x)/(x+log sin x)dx

int(1+cot^(2)x)/(1+cot x)backslash dx