# Math Help - How to integrate this integral?

1. ## How to integrate this integral?

Hi all,

I want to calculate the integral $\int^t_0 \frac{\sin(t')}{\sqrt{t-t'}}dt'$, where $t$ is just a constant. It should be converged since $\int^t_0 \frac{1}{\sqrt{t-t'}}dt'$ is computable. Thanks.

2. ## Re: How to integrate this integral?

Hey Mengqi.

After looking at Wolfram Alpha, there is absolutely no way I would have guessed the solution to your problem but anyway - the link is below:

int sin(u)*(a-u)^(-1/2)du - Wolfram|Alpha

3. ## Re: How to integrate this integral?

Chiro,

Thank you very much! I've never heard of Fresnel function.. I thought the integration would be trivial since its simple looking....
I will look into that.

Mengqi