Given the function, $y=\frac{1}{2}{x}^3-4x^2+7\mathrm{.}5x$ on the interval $0,5$

What does ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}ydx$ equal $($to the nearest hundredth$)?$

$11\mathrm{.}47$

$7\mathrm{.}89$

$10\mathrm{.}54$

$5\mathrm{.}21$