Evaluate: `int_0^(pi//4)sin3xsin2x\ dx`

Explanation

To evaluate the integral \( \int_0^{\frac{\pi}{4}} \sin(3x) \sin(2x) \, dx \), we can use the product-to-sum identities for sine functions.

### Step-by-step Solution:

1. **Apply the Product-to-Sum Identity**:
We use the identity:
\[
\sin A \sin B = \frac{1}{2} [\cos(A - B) - \cos(A + B)]
...