1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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)!

    The Macluarin series for sin(x2) =

    Ʃ (-1)x4n+2/(2n+1)!

    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


    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted