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Challenging triple integral

  • Thread starter HclGuy
  • Start date
  • #1
13
0

Homework Statement



Find [tex]\int\int\int\sqrt{x^2+y^2+z^2}e^{-x^2-y^2-z^2}dxdydz[/tex]
The limits of integration for all 3 variables are from -infinity to infinity.

Homework Equations


This one has me completely stumped, so I'm just wondering if someone could push me in the right direction in how to solve this one. I thought about maybe finding a suitable substitution for the region of integration but I'm not sure at how that might work.
Thanks
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
249

Homework Statement



Find [tex]\int\int\int\sqrt{x^2+y^2+z^2}e^{-x^2-y^2-z^2}dxdydz[/tex]
The limits of integration for all 3 variables are from -infinity to infinity.
Hi HclGuy! :smile:

Hint: change the variables of integration from x y and z to … ? :smile:
 
  • #3
13
0
Are you hinting towards spherical coordinates...?
I'm gonna try that out.. Thanks
 
  • #4
1,752
1
becomes trivial once you change variables
 
  • #5
13
0
Thanks guys, got it now.
 

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