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Dangerous integretion :P

Posted: Fri Jun 01, 2012 11:04 pm
by sm.joty
Please, any one show me the procedure to get the integral of $sin x^{2} dx$ ????

Re: Dangerous integretion :P

Posted: Sat Jun 02, 2012 12:58 am
by *Mahi*
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.

Re: Dangerous integretion :P

Posted: Sat Jun 02, 2012 11:37 am
by tanvirab
হুম, আমার কমপ্লেক্স এনালাইসিসি ক্লাসে না জানি ক্লাসিক্যাল ফিজিক্স ক্লাসে এইটা করতে হইসিল একবার। বহুত ঝামেলা।

Re: Dangerous integretion :P

Posted: Sat Jun 02, 2012 4:49 pm
by Sazid Akhter Turzo
I agree with Mahi vai.
read this one: http://en.wikipedia.org/wiki/Fresnel_integral
and that one: http://en.wikipedia.org/wiki/Error_function

and you'll get your answer. :D :) ;)
Turzo

Re: Dangerous integretion :P

Posted: Tue Jun 12, 2012 5:58 am
by nayel
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).

Re: Dangerous integretion :P

Posted: Wed Jan 13, 2021 4:32 pm
by Tajuar.Akash
আক্কেলগুরুম! 😶