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.
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.
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
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