The integral ${\displaystyle \underset{-a}{\overset{a}{}}}xcos(x^2)dx$ equals which of the following?

$(1$ point$)$

$-sin(a^2)$

$-\frac{1}{2}sin(a^2)$

$0$

$\frac{1}{2}sin(a^2)$

$sin(a^2)$