`cot(tan^(- 1)x+cot^(- 1)x)`

The value of cot(tan^(-1)2x+cot^(-1)2x) is ... (A) 0 (B) 2x (C) 4x (D) pi+2x A B C D

int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx equals

int_((pi)/(6))^((pi)/(4))(tan x+cot xdx)/(tan^(-1)x+cot^(-1)x)

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

The value of 2tan^(-1)(cos ec tan^(-1)x-tan cot^(-1)x) is equal to (a)cot ^(-1)x( b ) (cot^(-1)1)/(x) (c)tan ^(-1)x (d) none of these

Evaluate: (i) sin(tan^(-1)x+(tan^(-1)1)/(x)) for x>0( ii) cot(tan^(-1)a+cot^(-1)a)

tan^(-1)(cot4x)

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) then (dy)/(dx)=

int(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x)dx equals

If y=(tan^(-1)x-cot^(-1)x)/(tan^(-1)x+cot^(-1)x) , find ((dy)/(dx))_(x=-1)