Evaluate the following integral: `int_(-pi)^pix^(10)sin^7x\ dx`

Explanation

To evaluate the integral \( I = \int_{-\pi}^{\pi} x^{10} \sin^7 x \, dx \), we can use the properties of odd and even functions.

### Step 1: Identify the function
Let \( f(x) = x^{10} \sin^7 x \).

### Step 2: Determine \( f(-x) \)
We need to find \( f(-x) \):
\[
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