Evaluate: `int_(-2)^2|xcospix|dx`

Explanation

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

### Step 1: Identify the function and its properties
Let \( f(x) = |x \cos(\pi x)| \). We need to check if \( f(x) \) is an even function.

### Step 2: Check if the function is even
We find \( f(-x) \):
\[
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