# Thread: anitderivative

1. ## anitderivative

what is F, if $f(t)= sin(\pi t^2)$

2. ## Re: anitderivative

Originally Posted by delgeezee
what is F, if $f(t)= sin(\pi t^2)$

Are you trying to find $\int sin(\pi t^2) dt$ ?

Look over here:

Fresnel Integrals -- from Wolfram MathWorld

3. ## Re: anitderivative

You can't do a simple integral to solve for it. You have to use another method.

4. ## Re: anitderivative

It would be a nice exercise to prove that $\int_1^{\infty} \sin{\pi x^2} dx <\infty$.