Thread: 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?

Originally Posted by Sally_Math

then what do we do, are we done?

Nope, find the integral of this

Originally Posted by Sally_Math

x^2 - x^6/3! + x^10/5! - x^14/7! + ......