Question

Integrate :-

Answer 1

\[Integrate :- \int\limits 1/(1-\cot x) or \sin x/(\sin x - \cos x)\]

Answer 2

\(cot(x) = \frac{cos(x)}{sin(x)}\)

Answer 3

Cant understand.

Answer 4

\[\int\limits \frac{ 1 }{ 1-\frac{ \cos(x) }{ \sin(x) } }dx\]

Answer 5

ok what to do next ?

Answer 6

oops i got scolding for this method

Answer 7

take \(\cot x =t \) and then simple partial fractions should net you the answer.

Answer 8

ok let me try

Answer 9

I got

is it correct ?