Question

Integrate :
$\int \cot xdx$

Answer 1

$\int \cot xdx$

$=\int \frac{\cos x}{\sin x}dx$

Let $t=\sin x⟹dt=\cos xdx$

$\Rightarrow \int \frac{1}{t}dt$

$=\log t+c$

$=\log \sin x+c$