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Evaluating integral involving Heaviside function.

  1. Sep 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Evaluate ∫ (t - 1)^2 U(t - 2)dt on the interval [0, 5]


    2. Relevant equations
    τ = 2, b = 5.
    U(t - τ) = 0, t < τ and 1, t > τ.


    3. The attempt at a solution
    Decompose integral up into two parts [0, 2] and [2,5].
    U(t - 2) will = 0 on the first interval as t < τ and it will = 1 on the second as t > τ. From there it's just a case of evaluating ∫(t - 1)^2 dt on [2,5].
    Does this sound correct or have I gone wrong somewhere?
    Thanks.
     
  2. jcsd
  3. Sep 26, 2013 #2

    jbunniii

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    That approach looks fine to me.
     
  4. Sep 26, 2013 #3
    Good stuff. Thanks.
     
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