Evaluate `int sin^(-1)x dx`.

Explanation

To evaluate the integral \( \int \sin^{-1} x \, dx \), we will use integration by parts.

### Step-by-Step Solution:

1. **Identify the functions for integration by parts**:
Let \( u = \sin^{-1} x \) and \( dv = dx \).
Then, we need to find \( du \) and \( v \):
\[
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