Question

how do you integrate sin (x^2) dx?

Answer 1

There is a solution given here that uses complex numbers but gives a simple real answer which is correct:
http://answers.yahoo.com/question/index?qid=20070116202856AA7DM5R

You might be able to get the same answer using integration by parts

Answer 2

The answer is
(x/2) - (1/4)sin(2x)

I don't see any easier way to get it than the "Euler" proof in the link I gave you

Answer 3

thank you for your answer, but this example problem is not the same as mine. the example problem is (sin (x))^2, in other words the whole quantity is squared. mine is just sin of x^2. any suggestions here?