Results 1 to 3 of 3

Math Help - Indefinite intergral

  1. #1
    Newbie
    Joined
    Aug 2008
    Posts
    2

    Indefinite intergral

    Hello all =],
    "The indefinite integral \int (5x-4)^4 dx is equal to:"

    Could anyone explain what happens here and the steps that i need to go through. I understand some of the steps but not all of them.

    According to my text book the answer is;

    <br />
\frac{1}{25} (5x-4)^5 + c<br />

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member wingless's Avatar
    Joined
    Dec 2007
    From
    Istanbul
    Posts
    585
    Hello,

    the book wants you to evaluate the indefinite integral, \int (5x-4)^4~dx.

    There may be a few ways to deal with this. We can expand (5x-4)^4 using binomial theorem, then integrate it term by term. But this is long, tiring and unnecessary, so we won't use this approach.

    If we can reduce 5x-4 to one term, we can integrate it easily.

    Substitute u=5x-4 and it's easy to finish from there.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2008
    Posts
    2
    Thanks mate!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. intergral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 10th 2010, 06:04 AM
  2. Intergral
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: December 12th 2009, 01:36 AM
  3. Help with an Intergral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 5th 2008, 06:19 AM
  4. intergral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 3rd 2008, 06:01 PM
  5. Replies: 4
    Last Post: April 8th 2008, 03:20 AM

Search Tags


/mathhelpforum @mathhelpforum