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Thread: Laplace

  1. April 29th 2009, 03:58 AM #1
    john1985
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    Laplace

    Integral of [h(t-pi/4) - h(t)] cos(2t) e^-st dt
    limits of integration 0 to infinity
    s > 0

    need assistance.

    regards
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  2. April 29th 2009, 08:38 PM #2
    CaptainBlack
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    Integral of [h(t-pi/4) - h(t)] cos(2t) e^-st dt
    limits of integration 0 to infinity
    s > 0
    h(t) is what function, the unit step?

    <br /> \int_{t=0}^{\infty} u(t-k) \cos(2t) e^{-st} \ dt=\text{Re}\left[\int_{t=k}^{\infty} e^{(-s+2\text{i})t}~dt\right]<br />

    CB
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