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I'm stuck on one of the normalization question,

I'd be glad if you can help me out.

The questions is, psi(r)=Ne^(-ar) where N is a normalization constant and a is a known real parameter.

Solution reads, 1=int dr lpsi(r)l^2 = 4piN^2 int (from 0 to infinity) dr r^2 e^(-2ar)

What I don't get is how to get integral from 0 to infinity?(instead of -infinity to +infinity) with extra factor 4pi r^2?

Thanks for your help

P.S. the solution also says, use the following integral, n larger than or equal to 0: int(0 to infinity)dx x^n e^(-x)=n factorial

I don't get where you use above integral.

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# Homework Help: Stuck on normalization

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