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What method has been used in this solved integration problem?

  1. Nov 1, 2012 #1
    limits from τ=0 to t

    ∫τsinωτ dτ

    answer: [-τ/ω + 1/ω^2(sinωτ] limits τ = 0 to t

    = -t/ω(cosωt) + 1/ω^2(sinωt)


    Could someone please explain the steps? is this an integration by parts method??

    when i attempt integration by parts, with u = τ & dv = sin(ωτ) dτ

    I get the following answer:

    τ(ωcosωτ) - sinωτ
     
    Last edited: Nov 1, 2012
  2. jcsd
  3. Nov 1, 2012 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    So, you are saying that v = w*cos(w*t). Have you checked this by taking the derivative?

    RGV
     
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