1. Given that

$\int{(2(3-\frac{1}{2}x))}^{p}dx=-\frac{1}{4}{x}^{4}+...$

where $p$ is a positive integer and $-\frac{1}{4}{x}^{4}$ is the term with the highest power of $x$, find fully

$\int{(2(3-\frac{1}{2}x))}^{p}dx$

writing each term in simplest form.