Why Does A Become |A| in Normalizing Ψ Homework?

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Homework Statement


I am doing part (A).
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Homework Equations


The Attempt at a Solution



When solving the problem, A^2 is pulled out of the integral and becomes |A|^2. Why does A become |A|?
 
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The normalization constant can, in general, be complex, so when you square the modulus of the wave function, you'd get |A|2 instead of simply A2. The problem here, however, states that A is real, so you could just use A2.