Normalizing a wavefunction f(x) = e^-|2x|

[chickenoodle]

Homework Statement

This isI n't formatted properly because I don't have much time.

The wave function is f(x) = e^-|2x|

I need to normalize this function

Homework Equations

The normalization condition is

S f^2dx=1

(that S is an "integral" sign and the limits are from - infinity to + infinity)

The Attempt at a Solution

S [(Ae^-|2x|)^2]dx = 1

A^2 S (e^-2|2x|)dx = 1

A^2 S (e^-4x)dx = 1

(-1/4)(A^2)(e^-4(infinity) - e^-4(0)) = 1
(-1/4)(A^2)(-1) = 1
A = sqrt(4)
A = 2

this doesn't seem right? can someone help? I'm pressed for time.

 

[borgwal]

You missed a factor of 2 when you went from an integral from -infty to +infty, to an integral from -infty to 0.