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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- April 27th 2010, 03:39 AMSally_Mathintegral 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? - April 27th 2010, 03:41 AMpickslides