Find `intsin^(5)xdx`.

Explanation

To solve the integral \(\int \sin^5 x \, dx\), we can follow these steps:

### Step 1: Rewrite the Integral
We start by rewriting \(\sin^5 x\) as \((\sin^2 x)^2 \sin x\). Thus, we have:
\[ \int \sin^5 x \, dx = \int (\sin^2 x)^2 \sin x \, dx \]

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