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**1. Homework Statement**

I don't see how the author normalizes ##u(r)=Asin(kr)##. From Griffiths, Introduction to Quantum Mechanics, 2nd edition, page 141-142:

http://imgur.com/a/bo8v6

**2. Homework Equations**

##\int_0^{\infty} \int_0^{\pi} \int_0^{2\pi}|A|^2 \sin^2(\frac{n\pi r}{a})r^2 \sin \theta drd\theta d\phi=1##

**3. The Attempt at a Solution**

My integral was

##\int_0^{\infty} \int_0^{\pi} \int_0^{2\pi}|A|^2 \sin^2(\frac{n\pi r}{a})r^2 \sin \theta drd\theta d\phi=1##

Mathematica simplifies the integral (without the ##A## for simplicity) to

##=\int_0^{\infty}4\pi r^2 \sin^2(\frac{n\pi r}{a})dr##

but it stops there. I don't think this integral converges. Did I make a mistake somewhere?