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.........
তবুও এগিয়ে যেতে হবে.........
বাধা-বিঘ্ন না পেরিয়ে
বড় হয়েছে কে কবে.........
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.
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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.
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.
Turzo
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.
Turzo
Re: Dangerous integretion :P
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