Evaluate:
`intsin^(4)xcos^(2)xdx`

Explanation

To evaluate the integral \( I = \int \sin^4 x \cos^2 x \, dx \), we can follow these steps:

### Step 1: Rewrite the integral
We start with the integral:
\[ I = \int \sin^4 x \cos^2 x \, dx \]
We can express \( \sin^4 x \) as \( (\sin^2 x)^2 \) and use the identity \( \sin^2 x = 1 - \cos^2 x \).
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