Evaluate the following integral:`int_(-pi//2)^(pi//2)sin^4x\ dx`

Explanation

To evaluate the integral \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^4 x \, dx\), we can follow these steps:

### Step 1: Rewrite the Integral
We start with the integral:
\[ I = \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^4 x \, dx \]

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