`int e^x (logsin x + cot x)dx`

int log(sin x) . (cot x)dx .

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int e^(x)(sin x + cos x)dx =

Integrate the following w.r.t. x: int e^x (cot x -cot^2 x -1) dx

int cosecx(cosec x + cot x) dx = ?

int_((pi)/(4))^((pi)/(2))e^(x)(log sin x+cot x)dx

int e^(x)(cot x+log sin x)dx

int (tan x + cot x) dx

int e^x (cot x + log sin x)dx is equal to :

int e^(-x) cosec x(1+ cot x) dx is equal to a) e^(-x) cosec x + C b) -e^(-x) cosec x + C c) - e^(-x) ( cosec x + cot x ) + C d) - e^(-x) ( cosec x - tan x ) + C

int e^x(1-cotx + cot^2x) dx =