Good entertainment, so we have integral from zero to infinity of 10 sin(x) over 2 times x or 5 times integral from zero to infinity of sin(x0 over(x) which cannot be expressed in terms of elementary functions. If we are to approx as taylor then {(x- x*83/3! + x**5 /5!-x**7/7!....} /x=1-x**2/3!+x**4/5!-x**6/7!.... to estimate I think, Laplace may work better, let me try....
It might be somewhat useful to recall that sinc(n,x) = sin(nx))/(nx) = 1/(n*x) * (exp(i*n*x)-exp(-i*n*x))/(2i), which is a much better looking thing. Once may further recall a thing called "integral sine" Si(x), which happens to be an integral from 0 to x of 1/t*sin(t)dt and that the limit of Si(x) at x reaching +infinity is #pi/2.
Yup, I am deep in numerical, so my first thought when I see non integrable is to approximate. It is all about what we used to and doing on a regular basis. But thank you anyway, i like to do that sort of things kids like it too, we buy books of problems to solve just for fun.
Though, nice departure from our annoying everyday routine.
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timeasmymeasure
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Date: 2017-01-26 01:25 am (UTC)I think, Laplace may work better, let me try....
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Date: 2017-01-26 01:47 am (UTC)no subject
Date: 2017-01-26 01:55 am (UTC)Though, nice departure from our annoying everyday routine.
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Date: 2017-01-26 01:32 am (UTC)no subject
Date: 2017-01-26 01:35 am (UTC)no subject
Date: 2017-01-26 01:43 am (UTC)no subject
Date: 2017-01-26 01:50 am (UTC)no subject
Date: 2017-01-26 02:21 am (UTC)#pi * бургер/квартапива
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Date: 2017-01-26 04:33 am (UTC)no subject
Date: 2017-01-26 09:26 pm (UTC)Как-то так, разве-что.