Results 1 to 4 of 4

Math Help - can you/how do you integrate e^2x^2?

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    15

    can you/how do you integrate e^2x^2?

    Title says it all, this isnt a question I've seen just something I'm curious about.

    If you have e raised to the power of 2x, where the x is raised to the 2nd power can you integrate that? If so how?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Abu-Khalil's Avatar
    Joined
    Oct 2008
    From
    Santiago
    Posts
    148
    You mean \int e^{2x^2}dx?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member WhoCares357's Avatar
    Joined
    Feb 2009
    From
    SC
    Posts
    88
    Quote Originally Posted by Abu-Khalil View Post
    You mean \int e^{2x^2}dx?
    I'm curious myself (new to calculus).

    Could you take the natural log of both sides to bring the 2x^2 down and then integrate?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by ryu991 View Post
    Title says it all, this isnt a question I've seen just something I'm curious about.

    If you have e raised to the power of 2x, where the x is raised to the 2nd power can you integrate that? If so how?
    It can't be done in terms of elementary functions.

    -------------------------------------------------------------------------

    As an aside: If you were to find \int_{-\infty}^{\infty}e^{-2x^2}\,dx or \int_0^{\infty}e^{-2x^2}\,dx or \int_{-\infty}^{0}e^{-2x^2}\,dx, then it can be done, but by a conversion to a double polar integral. This way, it can be shown that \int_0^{\infty}e^{-2x^2}\,dx=\frac{1}{2}\sqrt{\frac{\pi}{2}}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Integrate 3 e^x
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 9th 2010, 02:16 PM
  2. how to integrate this ??
    Posted in the Calculus Forum
    Replies: 8
    Last Post: August 9th 2009, 09:14 PM
  3. Integrate
    Posted in the Calculus Forum
    Replies: 7
    Last Post: April 28th 2009, 08:54 PM
  4. How to integrate x^x?
    Posted in the Calculus Forum
    Replies: 5
    Last Post: April 25th 2009, 08:51 PM
  5. Integrate
    Posted in the Calculus Forum
    Replies: 8
    Last Post: April 15th 2009, 04:50 PM

Search Tags


/mathhelpforum @mathhelpforum