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## Homework Statement

A hydrogen atom given the following state:

[tex]\psi (r, 0) = A\psi_{100}(r) + (\frac{1}{\sqrt{5}})\psi_{311}(r) + (\frac{1}{\sqrt{3}})\psi_{422}(r)[/tex]

I must normalize this to solve for the normalization constant [tex]A[/tex]

## Homework Equations

## The Attempt at a Solution

Is it just me or does the integral turn out to be as hellish as it seems? Am I supposed to integrate the whole expression or just the first term?