Results 1 to 4 of 4

Math Help - Gamma Function

  1. #1
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5

    Gamma Function

    \displaystyle\int_0^{\infty}\frac{1}{5}xe^{-\frac{x}{5}} \ dx

    \displaystyle\Rightarrow\frac{1}{5}\lim_{b\to\inft  y}\int_0^b xe^{-\frac{x}{5}} \ dx=5\Gamma(2)=10

    Correct?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by dwsmith View Post
    \displaystyle\int_0^{\infty}\frac{1}{5}xe^{-\frac{x}{5}} \ dx

    \displaystyle\Rightarrow\frac{1}{5}\lim_{b\to\inft  y}\int_0^b xe^{-\frac{x}{5}} \ dx=5\Gamma(2)=10

    Correct?
    try the substition

    x=5u \implies dx=5du

    \displaystyle \frac{1}{5}\int_{0}^{\infty}(5u)e^{-u}(5du)=...
    yes It is I made a mistake at first
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    Quote Originally Posted by TheEmptySet View Post
    try the substition

    x=5u \implies dx=5du

    \displaystyle \frac{1}{5}\int_{0}^{\infty}(5u)e^{-u}(5du)=...
    yes It is I made a mistake at first
    That is what I did. Is the answer I have correct?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    No \Gamma(2)=1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Gamma function
    Posted in the Calculus Forum
    Replies: 5
    Last Post: January 14th 2011, 07:33 PM
  2. [SOLVED] The error function and incomplete gamma function
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: January 31st 2010, 04:24 PM
  3. The Gamma Function
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 9th 2009, 11:58 PM
  4. CDF & Gamma function
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: April 22nd 2009, 12:29 PM
  5. gamma function
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 24th 2009, 10:58 AM

/mathhelpforum @mathhelpforum