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How would you integrate this?

  1. Feb 3, 2015 #1
    1. The problem statement, all variables and given/known data

    Integrate: (e^(2t))(25sint+20cost)dt

    2. Relevant equations

    Integration by parts twice

    3. The attempt at a solution

    I don't know what to set for u and v.

    I ended up wolfram alpha it but I want to know how to get there.

    The solution is:

    e^(2t)(14sint+3cost)=C
     
    Last edited by a moderator: Feb 3, 2015
  2. jcsd
  3. Feb 3, 2015 #2

    Mark44

    Staff: Mentor

    You could split the integral into two parts and work each one separately. I would start off with u1 = 25sin(t) for the first integral and u2 = 20cos(t) for the second one. Do similar substitutions the second time you apply integration by parts.
     
  4. Feb 3, 2015 #3

    Mark44

    Staff: Mentor

    Should be + C, right?
     
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