" 32."(1)/(1+cot x)

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

Show that cot (x-y)=(cot x cot y+1)/(cot y-cot x)

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

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

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

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

(tan x)/(1-cot x)-(cot x)/(1-tan x)=(sec x cos(x+1))

If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ^(-1)(32) + "…………" upto 100 terms , then alpha is :