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

Explanation

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

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

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