Evaluate

$I={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2}sin(\frac{x}{2})dx$

A$.$ None of the given options

B$.-x^{2}cos(\frac{x}{2})8xsin(\frac{x}{2})16xcos(\frac{x}{2})C$

C$.x^{2}cos(\frac{x}{2})8xsin(\frac{x}{2})-4cos(\frac{x}{2})C$

D$.-2x^{2}cos(\frac{x}{2})8xsin(\frac{x}{2})16cos(\frac{x}{2})C$

E$.cos(\frac{x}{2})-8xsin(\frac{x}{2})xcos(\frac{x}{2})C$