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Evaluate the indefinite integral as an infinite series

  1. Apr 14, 2013 #1
    1. The problem statement, all variables and given/known data

    Evaluate the indefinite integral as an infinite series ∫ sin(x2) dx



    2. Relevant equations

    The Macluarin series of sin x =


    Ʃ (-1)nx2n+1/(2n+1)!
    n=0

    The Macluarin series for sin(x2) =


    Ʃ (-1)x4n+2/(2n+1)!
    n=0



    3. The attempt at a solution

    Do i evaluate the integral of sin(x2)

    from 0 to 1? then add the first couple of numbers to get a number or find a pattern?
     
  2. jcsd
  3. Apr 14, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    It's asking for an indefinite integral. The only thing you can really do is integrate the Maclaurin series term and put a summation sign in front of it.
     
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