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What is the value of the eigenvalue, $E$, in the following?

$$E=\int { { \psi }_{ 1 }{ \hat { H } \psi }_{ 2 } } d\tau $$

Given:

$${ \psi }_{ 1 }=\sin(4\pi x)$$

$${ \psi }_{ 2 }=\sin(5\pi x)$$

$\hat { H } $ is the Hamiltonian operator for total energy, and $ { \psi }_{ 1 }$ and $ { \psi }_{ 2 }$ are orthogonal to each other.

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