ln3(1)/(1+cot x)

If int (1)/(1 +cot x) dx = Ax + B log | cos x + sin x | + c then ( A, B ) =

" If "int(1)/(1+cot x)dx=A log|sin x+cos x|+Bx+c," then "A=,B=

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

Evaluate: (i) int(1)/(x log x log(log x)dx) (ii) int(cos ec^(2)x)/(1+cot x)dx

underset(x to 1)"Lt " (log(1-x))/(cot pi x)=

lim_(x rarr1)(log(1-x))/(cot pi x)

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

int_( then )^( If )sqrt(3cot^(2)x+4)dx=A ln sqrt(3)cot x+sqrt(4+3cot^(2)x)|-sin^(-1)((cos x)/(B))+C

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

lim_(x rarr0)(cot x)^((1)/(log x))