Dangerous integretion :P

For college and university level advanced Mathematics
sm.joty
Posts: 327
Joined: Thu Aug 18, 2011 12:42 am
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Dangerous integretion :P

Please, any one show me the procedure to get the integral of $sin x^{2} dx$ ????
হার জিত চিরদিন থাকবেই
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........

*Mahi*
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Re: Dangerous integretion :P

It is not done in the general way. It uses Fresnel Integrals. So I don't think the procedures would be anything like the usual ones.

Use $L^AT_EX$, It makes our work a lot easier!

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

Re: Dangerous integretion :P

হুম, আমার কমপ্লেক্স এনালাইসিসি ক্লাসে না জানি ক্লাসিক্যাল ফিজিক্স ক্লাসে এইটা করতে হইসিল একবার। বহুত ঝামেলা।

Sazid Akhter Turzo
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Re: Dangerous integretion :P

I agree with Mahi vai.
and that one: http://en.wikipedia.org/wiki/Error_function

This integral has no closed expression in terms of elementary functions. However, the definite integral with limits $0$ and $\infty$ can be computed using techniques from complex analysis (e.g. http://en.wikipedia.org/wiki/Cauchy%27s_Residue_Theorem).