Evaluate the following
`(i)intx^(4)e^(5x)dx` `(ii) intx^(4)cos5x dx`

Explanation

To evaluate the integrals `(i) ∫ x^4 e^(5x) dx` and `(ii) ∫ x^4 cos(5x) dx`, we will use the method of integration by parts.

### Solution for (i) ∫ x^4 e^(5x) dx

1. **Set up the integration by parts**:
Let \( I = \int x^4 e^{5x} \, dx \).
We will use the integration by parts formula:
\[
...