Problem to Normalize a wave function

[jg370]

Homework Statement

To find the stationary states and the corresponding energies, I need to normalize the following equations:

$$X(x)=A_x sin(\frac{n_x\Pi}{a}x)$$

$$Y(y)=A_y sin(\frac{n_y\Pi}{a}y$$

$$Z(z)=A_z sin(\frac{n_z\Pi}{a}z$$

Because of their similiraty, these value of the normalize coefficient is the same, namely:

$$A_x=A_y=A_z = \sqrt\frac{2}{a}$$,

as given in my textbook.

Homework Equations

Applying the normalization condition:

$$\int_{-infty}^{infty}\psi^\ast\psi dx = 1$$

The Attempt at a Solution

 

[vela]

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