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Math Help - integral of sin(x^2)dx

  1. #1
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    integral of sin(x^2)dx

    the integral of sin(x^2)dx as an infinite series

    I know that you can express sin(x) as an infinite series

    sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ..... and so

    sin(x^2) = x^2 - x^6/3! + x^10/5! - x^14/7! + ......

    then what do we do, are we done?
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  2. #2
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    Quote Originally Posted by Sally_Math View Post

    then what do we do, are we done?
    Nope, find the integral of this

    Quote Originally Posted by Sally_Math View Post
    x^2 - x^6/3! + x^10/5! - x^14/7! + ......
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