Integrate the functions`1/(sqrt(sin^3xsin(x+alpha)))`

Explanation

To solve the integral \( \int \frac{1}{\sqrt{\sin^3 x \sin(x + \alpha)}} \, dx \), we will follow a systematic approach.

### Step-by-Step Solution:

1. **Rewrite the Integral**:
We start with the integral:
\[
I = \int \frac{1}{\sqrt{\sin^3 x \sin(x + \alpha)}} \, dx
...