Evaluate: `intsin^4x\ dx`

Explanation

To evaluate the integral \(\int \sin^4 x \, dx\), we can follow these steps:

### Step 1: Rewrite \(\sin^4 x\)
We start by rewriting \(\sin^4 x\) in terms of \(\sin^2 x\):
\[ \sin^4 x = (\sin^2 x)^2 \]
Now, we can use the identity for \(\sin^2 x\):
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