Integrate the functions`sin^4x`

Explanation

To solve the integral of the function \( \sin^4 x \), we will use trigonometric identities and integration techniques. Here’s a step-by-step solution:

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