Question

Find the integrals (primitives):
$\rm \displaystyle\int \frac{\sin x}{1-\sin x} \ dx$

Answer 1

this is your answer



.......

Answer 2

Answer:

Step-by-step explanation:

Here, first sinx in numerator is broken as (1-sinx-1) after taking out a minus sign.

So,we obtain two integrals.

Second integral is easily calculated by using the fundamental formula.

For first integral,sinx is expressed in terms of tan(x/2).

Then substitution is applied and we get the answer.