Results 1 to 3 of 3

Math Help - volume problem

  1. December 9th 2007, 07:45 AM #1
    akhayoon
    akhayoon is offline
    Member akhayoon's Avatar
    Joined
    Dec 2007
    From
    T.O
    Posts
    106

    volume problem

    find the region by rotating about the y-axis

    y=e^{-x^2}~~~x-axis~~~~~x=0~~~~and ~~x=1

    I was thinking

    v=2pix\int_{0}^{1}e^{-x^2}
    Last edited by akhayoon; December 9th 2007 at 03:25 PM. Reason: typo
    Follow Math Help Forum on Facebook and Google+
  2. December 9th 2007, 03:26 PM #2
    akhayoon
    akhayoon is offline
    Member akhayoon's Avatar
    Joined
    Dec 2007
    From
    T.O
    Posts
    106
    but is that enough to bound the entire region or do I need another function?
    Follow Math Help Forum on Facebook and Google+
  3. December 9th 2007, 03:43 PM #3
    galactus
    galactus is offline
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    You're on the right track, except that x belongs inside the integral.

    2{\pi}\int_{0}^{1}xe^{-x^{2}}dx
    Last edited by galactus; November 24th 2008 at 05:38 AM.
    Follow Math Help Forum on Facebook and Google+
« General Solution to a Differential Equation | Evaluate the Integral »

Similar Math Help Forum Discussions

  1. Volume Problem
    Posted in the Geometry Forum
    Replies: 3
    Last Post: August 30th 2010, 04:44 AM
  2. Volume problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: March 18th 2010, 03:28 PM
  3. Volume Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 14th 2010, 06:50 PM
  4. Volume Word Problem (geometry-type problem for physics)
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: January 10th 2009, 05:49 AM
  5. A volume/SA problem
    Posted in the Calculus Forum
    Replies: 5
    Last Post: March 2nd 2006, 12:29 PM

Search Tags


/mathhelpforum @mathhelpforum