Results 1 to 5 of 5

Math Help - Integral Help

  1. #1
    Junior Member
    Joined
    Jan 2011
    Posts
    45

    Integral Help

    I need some help with the following integral
    \frac{1}{2\pi}\ \int^\pi_{-\pi} e^{-ikt-t}dt .....I get the following \frac{-e^{-(ik+1)\pi} + e^{(ik+1)\pi}}{2\pi(ik+1)}...is there any way to simplify it?
    Last edited by AkilMAI; March 5th 2011 at 12:07 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member AllanCuz's Avatar
    Joined
    Apr 2010
    From
    Canada
    Posts
    384
    Thanks
    4
    Quote Originally Posted by AkilMAI View Post
    I need some help with the following integral
     \int^{\pi_-\pi} e^{-ikt-t}dt .....I get th followint (-e^{-(ik+1)\pi} + e^{-(ik+1)\pi})/(2/pi(ik+1))...is there any way to simplify it?
    Assuming you have done the integral correctly,

    (-e^{-(ik+1)\pi} + e^{-(ik+1)\pi})=0 which makes the integral 0.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2011
    Posts
    45
    it is for a fourier series, the intregral is e^{-t}e^{-ikt} ...which I wrote as above...I must have done something wrong it cannot be zero
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jan 2011
    Posts
    45
    I edited the post ,the 2 exponentials have different signs for the powers
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by AkilMAI View Post
    I edited the post ,the 2 exponentials have different signs for the powers
    Closed under rule #6: http://www.mathhelpforum.com/math-he...hp?do=vsarules
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 31st 2010, 07:38 AM
  2. Replies: 1
    Last Post: June 2nd 2010, 02:25 AM
  3. Replies: 0
    Last Post: May 9th 2010, 01:52 PM
  4. [SOLVED] Line integral, Cauchy's integral formula
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: September 16th 2009, 11:50 AM
  5. Replies: 0
    Last Post: September 10th 2008, 07:53 PM

Search Tags


/mathhelpforum @mathhelpforum