Hi all,

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

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- Oct 15th 2013, 04:23 AMMengqiHow to integrate this integral?
Hi all,

I want to calculate the integral $\displaystyle \int^t_0 \frac{\sin(t')}{\sqrt{t-t'}}dt'$, where $\displaystyle t$ is just a constant. It should be converged since $\displaystyle \int^t_0 \frac{1}{\sqrt{t-t'}}dt'$ is computable. Thanks. - Oct 15th 2013, 07:10 PMchiroRe: 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 - Oct 16th 2013, 01:38 AMMengqiRe: 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