Normalization of a function

germana2006

Homework Statement

I have normalized the following function:

$$Q=\int (1-y^2) dx dy$$

Homework Equations

using the expression for the normalization

$$\vert N \vert ^2 \vert \int Q^* Q dx dy \vert^2 =1$$

The Attempt at a Solution

then I obtained

$$\int Q^* Q dx dy = x (y- y^3 /3)$$

therefore

$$N = 1/ x (y- y^3 /3)$$

but I am not sure if I have done good.