Evaluate : `int _(0)^(pi//4) sin 2x sin 3 x dx`

Explanation

To evaluate the integral \( I = \int_{0}^{\frac{\pi}{4}} \sin 2x \sin 3x \, dx \), we can follow these steps:

### Step 1: Use the product-to-sum identities
We can use the identity:
\[ 2 \sin a \sin b = \cos(a - b) - \cos(a + b) \]
In our case, let \( a = 2x \) and \( b = 3x \). Thus, we have:
...