Results 1 to 4 of 4

Math Help - a problem about integral

  1. #1
    Newbie
    Joined
    Nov 2011
    Posts
    21

    a problem about integral

    in no way i couldn't tackle this problem. could you help me please. and i wonder is there any application/pc program which is solving limit derivative and integral. Like MathXpert. any help will be appriciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member ILikeSerena's Avatar
    Joined
    Dec 2011
    Posts
    733
    Thanks
    121

    Re: a problem about integral

    Welcome to MHF, mami!

    You integral does not have an anti-derivative using only standard functions I'm afraid.

    But you can calculate it for instance with the online WolframAlpha calculator:
    http://www.wolframalpha.com/input/?i...2Bx%29%29^2+dx
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member vincisonfire's Avatar
    Joined
    Oct 2008
    From
    Sainte-Flavie
    Posts
    469
    Thanks
    2
    Awards
    1

    Re: a problem about integral

    Hi,
    If you know the answer is something clean as {\pi^2\over 6} then this can probably be done analytically.
    One way to go about this is to expand the integrate in a series, integrate each term and sum it up. (Technically, you should prove that you can interchange the sum and the integral, and there are many conditions/theorems to help you with that. But this is the calculus forum so don't worry about that. If it does not work try another "trick".) It may help to expand ln(x) and {1\over 1+x} first, and then work out their products. I have not worked it out explicitly, but numerics suggest it should work.
    Working with series can get quite tedious, so I'll think about a more clever trick.
    Is this a problem from a book?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2011
    Posts
    21

    Re: a problem about integral

    No this is not taken from a book.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integral problem involving the definition of the integral
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 23rd 2011, 07:06 AM
  2. integral problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 22nd 2010, 01:06 AM
  3. Integral problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 12th 2010, 01:46 PM
  4. Integral Problem
    Posted in the Calculus Forum
    Replies: 6
    Last Post: September 25th 2009, 06:11 AM
  5. Integral Problem
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 3rd 2009, 01:21 AM

Search Tags


/mathhelpforum @mathhelpforum