2.2. The normalized wave function is given as
\[
\psi(x)=\frac{\sqrt{31}}{2 a^{\frac{3}{2}}}\left(a^{3} x^{\frac{3}{2}}-x^{\frac{5}{2}}\right)
\]
and is present in 1D potential well given as
Figure 1:
Find the ground state energy using the expectation value \( \langle E\rangle \).