Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By Plato

Math Help - evaluating an integral with two functions as limits of inegration

  1. #1
    Senior Member
    Joined
    May 2012
    From
    Toronto
    Posts
    258
    Thanks
    1

    evaluating an integral with two functions as limits of inegration

    F(x)=\int_{x^4}^{x^3} (2t-1)^3\ dt

    how do I go about doing this given that there are two functions as the upper and lower limit (as opposed to one of them being a function and the other being a constant)

    would I let one of them =u and the other =v and then try to work from there? If so how would the derivatives and anti-derivatives work?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1780
    Awards
    1

    Re: evaluating an integral with two functions as limits of inegration

    Quote Originally Posted by kingsolomonsgrave View Post
    F(x)=\int_{x^4}^{x^3} (2t-1)^3\ dt

    Once and for all. If each of f~\&~g is a differentiable function and \Phi (x) = \int_{g(t)}^{f(x)} {h(t)dt}
    then \Phi '(x) = f'(x)h(f(x)) - g'(x)h(g(x)).
    Thanks from kingsolomonsgrave
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. evaluating limits of trig functions # 3
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 19th 2009, 02:54 PM
  2. evaluating limits of trig functions #2
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 18th 2009, 02:57 PM
  3. evaluating limits of trig functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 18th 2009, 02:26 PM
  4. evaluating limits
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 9th 2009, 03:52 PM
  5. evaluating limits with trig functions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 8th 2009, 10:18 PM

Search Tags


/mathhelpforum @mathhelpforum