Science Homework Help

A quantum particle of mass m moves in a potential well of length 2L. The particle is in a state described by the wave function

ψ(x)=B(3−x2L2)$\psi \left(x\right)=B(3-\frac{x^2}{L^2})$ for –L < x < L and zero elsewhere.

Determine the normalization constant B, in terms of L.