Write a value of `intx^2sinx^3\ dx`

Explanation

To evaluate the integral \( I = \int x^2 \sin(x^3) \, dx \), we will use substitution. Here’s a step-by-step solution:

### Step 1: Choose a substitution
Let \( t = x^3 \). Then, differentiate both sides to find \( dt \):
\[ dt = 3x^2 \, dx \]
This implies:
...