Results 1 to 2 of 2

Math Help - Integral proof help

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    5

    Integral proof help

    I have my first Calculus 2 assignment due this Wednesday, and I am having a really hard time with it. I've worked over 4 hours trying to complete the following:

    Prove the following identity:
    Attached Thumbnails Attached Thumbnails Integral proof help-integral-proof.bmp  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by pkrogel View Post
    I have my first Calculus 2 assignment due this Wednesday, and I am having a really hard time with it. I've worked over 4 hours trying to complete the following:

    Prove the following identity:
    Substitute t = x^n \Rightarrow dx = \frac{1}{n} t^{\frac{1}{n} - 1}.

    Then the integral is clearly seen to equal \frac{1}{n} \Gamma \left( \frac{1}{n} \right).

    Now use the well known formula \Gamma (z + 1) = z \Gamma (z).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Integral proof ..
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 15th 2010, 04:25 PM
  2. Integral Proof
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 14th 2010, 04:29 AM
  3. Integral proof
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 17th 2009, 06:30 AM
  4. Help with Integral proof
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 21st 2009, 07:09 PM
  5. Replies: 6
    Last Post: August 4th 2007, 10:48 AM

Search Tags


/mathhelpforum @mathhelpforum