Results 1 to 6 of 6

Math Help - Integration of 1 over e

  1. #1
    M.R
    M.R is offline
    Junior Member
    Joined
    Nov 2008
    Posts
    54

    Integration of 1 over e

    Hi,

    I am trying to integrate \int \frac{1}{e^x} dx

    I have tried using substitution of u = x or u=e^x both does not help.

    On a side note, is it correct that \frac{1}{e^x} = e^{-x}?
    Follow Math Help Forum on Facebook and Google+

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

    Re: Integration of 1 over e

    Hi M.R!

    Quote Originally Posted by M.R View Post
    Hi,

    I am trying to integrate \int \frac{1}{e^x} dx

    I have tried using substitution of u = x or u=e^x both does not help.

    On a side note, is it correct that \frac{1}{e^x} = e^{-x}?
    Yes, it is correct that \frac{1}{e^x} = e^{-x}.

    Do you know what the derivative of e^{x} is?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    M.R
    M.R is offline
    Junior Member
    Joined
    Nov 2008
    Posts
    54

    Re: Integration of 1 over e

    Yes. Derivative of e^x = e^x and derivative of e^{-x} = -e^{-x}

    So it follows that \int e^{-x} dx = -e^{-x} ?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member ILikeSerena's Avatar
    Joined
    Dec 2011
    Posts
    733
    Thanks
    121

    Re: Integration of 1 over e

    Yes, although you should add an integration constant to an indeterminate integral.

    That is:

    \int e^{-x} dx = -e^{-x} + C
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28

    Re: Integration of 1 over e

    Correct, but don't forget the +C , you can check it by finding \frac{d}{dx}\left(-e^{-x}\right)
    Follow Math Help Forum on Facebook and Google+

  6. #6
    M.R
    M.R is offline
    Junior Member
    Joined
    Nov 2008
    Posts
    54

    Re: Integration of 1 over e

    Thank you
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: November 3rd 2010, 12:54 AM
  2. Replies: 2
    Last Post: November 2nd 2010, 04:57 AM
  3. Replies: 8
    Last Post: September 2nd 2010, 12:27 PM
  4. Replies: 2
    Last Post: February 19th 2010, 10:55 AM
  5. Replies: 6
    Last Post: May 25th 2009, 06:58 AM

Search Tags


/mathhelpforum @mathhelpforum