tough integration

Discussion in 'Math' started by jut, Mar 3, 2009.

  1. jut

    Thread Starter Senior Member

    Aug 25, 2007
    224
    2
    anybody know how to integrate...

    t*cos(wt)e^(-st)dt
     
  2. Ratch

    New Member

    Mar 20, 2007
    1,068
    3
    jut,

    I do, but it's a toughie. You do it by integrating by parts. http://www.math.hmc.edu/calculus/tutorials/int_by_parts/ . But since it is a product of three terms, you have to expand the formula in the link to handle three terms. You are in for a pile of algebraic manipulation if you try to do this one. Best to look it up in a table of integrals and don't reinvent the wheel again.

    Ratch
     
  3. GirishC

    Active Member

    Jan 23, 2009
    58
    0
    I guess you are trying to transform t*cos(wt) in S domain! You can get hint from proof of Laplace transform of function's derivative.
     
  4. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
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