$-{\displaystyle \underset{0}{\overset{}{}}}{e}^{-1a{x}^2}*2a{x}^2-1dx=0$

Show how this statement is true by simplifyimg the intergal

Show that the following pair of wavefunctions is orthogonal:

$e^{(-\frac{1}{2})a{x}^2}$ and $(2a{x}^2-1)e^{(-\frac{1}{2})a{x}^2}$

where $-x$ and $a$ is a constant greater than zero.