Results 1 to 4 of 4

Math Help - easiest way to integrate f(x)*g(x) product specifically: x^2 * (1-x)^3 dx

  1. #1
    Newbie
    Joined
    Nov 2010
    Posts
    8

    easiest way to integrate f(x)*g(x) product specifically: x^2 * (1-x)^3 dx

    I've solved this properly by expanding the term in paranthesis then multiplying by x^2, and I think this would also be able to be solved via integration by parts, although not necessary.

    Is there an easier way, or rules, to integrating products of the same integrating variable?
    Last edited by enerj; November 9th 2010 at 03:20 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29
    You can integrate by substitution, although I'm not sure if it will work for your example.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member Hardwork's Avatar
    Joined
    Sep 2010
    Posts
    36
    Letting u = 1-x will give you \int (u-1)^2u^3\;{du}. You will expand a quadratic instead of a cubic. I think that's a fair simplification.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2010
    Posts
    8
    fair enough, I wanted to make sure there wasn't a nifty chain rule like there is for differentiation that exists. Thanks guys.

    PS - how do I set this thread as solved
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Quantities Calc (specifically cut and fill)
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: January 14th 2012, 04:36 AM
  2. Topology (specifically homotopy) question!
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: January 28th 2011, 06:28 AM
  3. Lottery Probability Help (specifically part D)
    Posted in the Statistics Forum
    Replies: 1
    Last Post: April 28th 2010, 11:11 PM
  4. Integrate easiest way?
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 28th 2010, 10:28 AM
  5. Easiest Sum for You'll
    Posted in the Geometry Forum
    Replies: 3
    Last Post: July 7th 2008, 09:30 PM

Search Tags


/mathhelpforum @mathhelpforum