Evaluate the following integral:`int_(-pi//2)^(pi//2)sin^3x\ dx`

Explanation

To evaluate the integral \( I = \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^3 x \, dx \), we can follow these steps:

### Step 1: Identify the function and its properties
Let \( f(x) = \sin^3 x \). We need to check if this function is odd or even.

### Step 2: Check if \( f(x) \) is odd
To determine if \( f(x) \) is odd, we compute \( f(-x) \):
\[
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