" (ii) "int(dx)/(1+cot x)" ."

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

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

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

Evaluate: (i) int(sec x tan x)/(3sec x+5)dx (ii) int(1-cot x)/(1+cot x)dx

(i) int (1-tanx)/(1+tanx) dx (ii) int (1- cot x)/(1+ cot x) dx

(i) int (1+ tan x)/(x +log sec x) dx (ii) int (1+ cot x)/(x+log sin x) dx.

int_ (0) ^ ((pi) / (2)) (sin x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (cos x) / (sin x + cos x) dx = int_ (0) ^ ((pi) / (2)) (dx) / (1 + cot x) = int_ (0) ^ ((pi) / (2)) (dx) / ( 1 + time x) = (pi) / (4)

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

int_(0)^( pi/2)(dx)/(1+cot x)

Show that : int (dx)/(1 - cosx) = - ("cosec"x + cot x) + c