`int_(-pi/2)^(pi/2)cosx dx`

Explanation

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

### Step 1: Set up the integral
Let
\[ I = \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \cos x \, dx \]

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