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Homework Help: Antiderivative help

  1. Feb 10, 2008 #1
    1. The problem statement, all variables and given/known data
    What is the anti derivative of


    3. The attempt at a solution

    I have not done this in a while and i cant seem to find my prev. notes but is it not

    -5.4cos(3t)*3 + C
  2. jcsd
  3. Feb 10, 2008 #2


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    Homework Helper

    Divide by the differential in the brackets...

    and [itex]\frac{d}{dx}(cosX)=-sinX[/itex]
  4. Feb 10, 2008 #3
    Well, here are some little hints.

    Take -5.4 out of the integral.

    Let u = 3t du = 3dt.

    So then you have (-5.4/3) Integral of sin(u)du.

    Integrate and place the u with 3t once you are finished. (Note the integral of sin is NOT just cosin.)
  5. Feb 10, 2008 #4
    ahhh right...so the correct answer should be


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