Problem with normalisation, or should i say integration

[spaghetti3451]

Homework Statement

Consider the wave packet \psi(x)\equiv ψ(x, t = 0) = Ce^{i\omega x}e^{-\left|x\right|/2\Delta x} where C is a normalisation constant.

Normalise \psi(x) to unity.

Homework Equations

The Attempt at a Solution

I know the normalisation condition. My problem is when I have ...

\left|C\right|^{2}\int e^{-\left|x\right|/\Delta x} dx = 1

Any help will be MUCH appreciated.

 

[pcm009]

Homework Statement

Consider the wave packet \psi(x)\equiv ψ(x, t = 0) = Ce^{i\omega x}e^{-\left|x\right|/2\Delta x} where C is a normalisation constant.

Normalise \psi(x) to unity.

Homework Equations

The Attempt at a Solution

I know the normalisation condition. My problem is when I have ...

\left|C\right|^{2}\int e^{-\left|x\right|/\Delta x} dx = 1

Any help will be MUCH appreciated.

Say delta x=x-x0

 

[spaghetti3451]

Good thinking! But this makes the problem even harder . lolzz. because I have literally NO idea how to integrate such an expression!

 

[pcm009]

Good thinking! But this makes the problem even harder . lolzz. because I have literally NO idea how to integrate such an expression!

Thank U! I just got lost like U did, but my professor gave this idea.

 

[pcm009]

Good thinking! But this makes the problem even harder . lolzz. because I have literally NO idea how to integrate such an expression!

http://www.algebra.com/algebra/homework/complex/Complex_Numbers.faq.question.361330.html