Did I Make a Mistake in Computing This Triple Integral?

[-EquinoX-]

Homework Statement

http://img19.imageshack.us/img19/5192/captureonr.th.jpg

Can anyone tell me if I did any mis-computation on evaluating the triple integral above?

Homework Equations

The Attempt at a Solution

 

[gabbagabbahey]

The image is too small and grainy for me to read clearly...could you upload a larger version of it?

 

[-EquinoX-]

I uploaded a better image, I hope you can read it now

 

[gabbagabbahey]

I uploaded a better image, I hope you can read it now

That's much better, and also correct

(Although it's only a double integral, not a triple integral as the thread title suggests)

 

[-EquinoX-]

so all my computations there are all correct?

 

[gabbagabbahey]

Edit: no, you have an extra factor of 2...

 

[-EquinoX-]

where at? the 2pi you mean?

 

[gabbagabbahey]

yes, you brought the 2 inside the integral in order to compute the antiderivative of 2re^(-r^2)dr...but on the next line of your calculation, it was back outside the integral