Results 1 to 2 of 2

Thread: Integration Help

  1. Feb 5th 2009, 11:37 AM #1
    My Little Pony
    My Little Pony is offline
    Member
    Joined
    Nov 2008
    Posts
    76

    Integration Help

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y = 28x-4x^2, y = 0



    about the y-axis.
    Follow Math Help Forum on Facebook and Google+
  2. Feb 5th 2009, 03:40 PM #2
    skeeter
    skeeter is offline
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    14,782
    Thanks
    3006
    Quote Originally Posted by My Little Pony View Post
    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y = 28x-4x^2, y = 0

    about the y-axis.
    find the limits of integration ...

    28x - 4x^2 = 0

    4x(7 - x) = 0

    use the method of cylindrical shells

    V = 2\pi \int_0^7 x(28x - 4x^2) \, dx
    Follow Math Help Forum on Facebook and Google+
« [SOLVED] Differentiation | indefinate integral/power series »

Similar Math Help Forum Discussions

  1. Integration help please these are three small even basic integration problems
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Nov 3rd 2010, 12:54 AM
  2. sketch the region of integration and change the order of integration.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Nov 2nd 2010, 04:57 AM
  3. Definite Integration - Double integration by parts
    Posted in the Calculus Forum
    Replies: 8
    Last Post: Sep 2nd 2010, 12:27 PM
  4. Simple Integration problem: Trigonometric Integration
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Feb 19th 2010, 10:55 AM
  5. Tricky integration, possibly Integration Factor
    Posted in the Calculus Forum
    Replies: 6
    Last Post: May 25th 2009, 06:58 AM

Search Tags


/mathhelpforum @mathhelpforum