Triple Integral

  • Thread starter squenshl
  • Start date
  • #1
479
4
How would I evaluate the triple integral [tex]\int\int\int_H(x^2+y^2)[/tex] dV,
where H is the region bounded x2 + y2 = 1, y = x, y = 0, z = 0, z = 2
 

Answers and Replies

  • #2
1,013
70
It is sector of a cylinder. Try cylindrical coordinates. A very simple integral results.
 
  • #3
85
0
I was about to say Moment of Inertia about the z axis. But no!.

Um yes when you convert to cylindrical co-ordinates remember the [tex]cos^{2}(x) + sin^{2}(x) = 1[/tex] and you should be left with [tex]r^{2}[/tex]. Making the integration easier. Don't for get the Jacobian.
 
  • #4
479
4
Cheers. Thought so
 

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