Computing triple integral

1. The problem statement, all variables and given/known data

http://img19.imageshack.us/img19/5192/captureonr.th.jpg [Broken]

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

2. Relevant equations



3. The attempt at a solution
 
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gabbagabbahey

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The image is too small and grainy for me to read clearly....could you upload a larger version of it?
 
I uploaded a better image, I hope you can read it now
 

gabbagabbahey

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I uploaded a better image, I hope you can read it now
That's much better, and also correct:approve:

(Although it's only a double integral, not a triple integral as the thread title suggests)
 
so all my computations there are all correct?
 

gabbagabbahey

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Edit: no, you have an extra factor of 2....
 
where at? the 2pi you mean?
 

gabbagabbahey

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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
 

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