Normaliztion of the wavefunction mathematics problem

1. Feb 17, 2013

Normalization

All the relevant information about the problem is in the attachment.
I just have a problem with the first step, my question it:
How is b true? I would have thought that the second part of the exponential function would be taken outside of the integral as well as A since you're taking the integral with respect to x and why is it TWO TIMES abs(A)^2 and why does the absolute value disappear from the exponent of the integrand?

PS: This is my first time on the forum so I appologize in advance if I haven't been clear enough etc. Also I'm trying to teach myself so I dont have a professor to turn to etc.

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2. Feb 17, 2013

Normalization

nvm its fine :D