Dangerous integretion :P

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sm.joty
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Dangerous integretion :P

Unread post by sm.joty » Fri Jun 01, 2012 11:04 pm

Please, any one show me the procedure to get the integral of $sin x^{2} dx$ ????
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*Mahi*
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Re: Dangerous integretion :P

Unread post by *Mahi* » Sat Jun 02, 2012 12:58 am

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.
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tanvirab
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Re: Dangerous integretion :P

Unread post by tanvirab » Sat Jun 02, 2012 11:37 am

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

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Sazid Akhter Turzo
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Re: Dangerous integretion :P

Unread post by Sazid Akhter Turzo » Sat Jun 02, 2012 4:49 pm

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

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nayel
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Re: Dangerous integretion :P

Unread post by nayel » Tue Jun 12, 2012 5:58 am

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).
"Everything should be made as simple as possible, but not simpler." - Albert Einstein

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