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Homework Help: Maclaurin Series Help

  1. Apr 19, 2010 #1
    1. The problem statement, all variables and given/known data

    Assume that sin(x) equals its Maclaurin series for all x.
    Use the Maclaurin series for sin(3 x^2) to evaluate the integral
    int_0^{0.72} sin(3 x^2) dx.
    Your answer will be an infinite series. Use the first two terms to estimate its value.

    2. Relevant equations



    3. The attempt at a solution

    I got

    ((-1)^n(3^(2n+1)0.72^(4n+3))/((2n+1)!(4n+3))
     
  2. jcsd
  3. Apr 19, 2010 #2

    Mark44

    Staff: Mentor

    What do you get for your Maclaurin series for sin(3x^2)?
     
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