Did I Make a Mistake in Computing This Triple Integral?

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Homework Help Overview

The discussion revolves around the evaluation of a triple integral, with participants examining the computations made by the original poster. The focus is on verifying the correctness of the calculations presented in an image.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the clarity of the original image and request a larger version for better readability. There is a back-and-forth regarding whether the integral is indeed a triple integral or a double integral. The original poster seeks confirmation on the correctness of their computations, while others point out specific factors that may have been mismanaged in the calculations.

Discussion Status

The discussion is active, with participants providing feedback on the clarity of the presented image and addressing specific aspects of the computations. There is no explicit consensus on the correctness of the original poster's work, but guidance is offered regarding potential errors in the calculations.

Contextual Notes

Participants note that the original integral may have been misidentified as a triple integral when it is actually a double integral. There is mention of an extra factor that may have been incorrectly handled during the computation process.

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