Results 1 to 4 of 4

Math Help - Another Triple Integral

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    24

    Another Triple Integral

    Evaluate the triple integral where is the solid bounded by the paraboloid and .

    Can someone help me on the setup, Thank you so much!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Apr 2009
    Posts
    1
    hopefully you know what the volume looks like... it's 'bowl' shaped.

    integrate 1 over y and z first, i.e. integrate over the circle x = 8x^2 + 8y^2, where x is fixed. can you do this? then integrate these elements (which are functions of x) * x over x between 0 and 8...

    to make thing simpler, use cylindrical coordinates.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2008
    Posts
    24
    I know how to integrate but I don't know how to setup the limits of integrations
    Last edited by jffyx; April 22nd 2009 at 09:09 PM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by jffyx View Post
    Evaluate the triple integral where is the solid bounded by the paraboloid and .

    Can someone help me on the setup, Thank you so much!
    The solid has circular cross sections in the planes defined by x=\sqrt{r} of radius r, and so of area \pi r^2=\pi x , so our integral becomes:

    I=\int_{x=0}^8 \pi x^2 \ dx

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Double Integral and Triple Integral question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 3rd 2010, 12:47 PM
  2. Triple Integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 17th 2010, 08:11 AM
  3. Triple Integral
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 17th 2009, 08:13 PM
  4. triple integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 1st 2009, 05:05 PM
  5. Triple integral take 2
    Posted in the Calculus Forum
    Replies: 9
    Last Post: April 25th 2009, 10:38 AM

Search Tags


/mathhelpforum @mathhelpforum