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## Homework Statement

Normalize the wave function ,[itex]\psi(x)[/itex], where [tex]\psi(x)=\frac{1}{1+ix}[/tex].

## Homework Equations

## The Attempt at a Solution

[tex]\langle\psi\mid\psi\rangle= \int_{-\infty}^{\infty}\frac{1-ix}{1+x^2}\frac{1+ix}{1+x^2}dx=\int_{-\infty}^{\infty}\frac{1}{1+x^2}=\left. arctan(x)\right|_{-\infty}^{\infty}=0[/tex] since arctan(x) is an odd function.

Now I know a normalized wavefunction satisfies [tex]\langle\psi\mid\psi\rangle=1[/tex].

I dont know how to manipulate the given wavefunction in order to satisfy the condition.