This is my bf's challenge for me to solve. If I can solve this, he will be mine for the whole day... but if I can't, I will be his for the whole day...
Help me, please? Is this function integrable? Or isn't?
2006-09-10 20:42:17 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Your bf is really pulling your leg!
None of these are expressible in terms of
elementary functions.
For more info go to integrals.wolfram.com
It gives the first 2 as Si(x) and Ci(x)
and lists some of their properties.
The last one is expressible as a complex
argument of the dilogarithm function.
Again, wolfram.com has lots of info about this
function.
I'd get after your bf if I were you!
2006-09-11 07:08:03 · answer #1 · answered by steiner1745 7 · 0⤊ 0⤋
Integral Of Sinc
2016-10-16 23:11:38 · answer #2 · answered by ? 4 · 0⤊ 0⤋
sinc(x) is defined as a piecewise function that is equal to sin(x)/x everywhere except at x=0, where its functional value is set to 1. To integrate this function, you have to break the sine function into a taylor series since normal integration techniques don't work.
sin(x)= sum(1 to inf) of (-1)^(n-1) * x^(2n-1) / (2n-1)!
=x - x^3/3! +x^5/5! - x^7/7! +......
sin(x)/x = 1 - x^2/3! +x^4/5! - x^6/7! +......
Now integrate. Obviously you won't get an EXACT answer, but you can get a very accurate answer using series.
As for cosc(x) and tanc(x), I've never heard of them. However, if I assume they were similar to sinc(x), I would assume their definition would be cos(x)/x and tan(x)/x. If this is the case, you have the same problem as with sinc(x), which is they are not integrable in terms of elementary functions. You have to use the same technique as before, i.e. Taylor series expansion.
Good luck.
2006-09-10 21:31:26 · answer #3 · answered by Anonymous · 2⤊ 0⤋
These are the sampling functions right?
sinc (x) is defined as sin x / x for all x (even at x=0 the limit is 1), it's pretty hard to get exactly without limits, but if anyone knows a way to get the indefinite integral let me know.
2006-09-10 23:56:15 · answer #4 · answered by yasiru89 6 · 0⤊ 0⤋
This Site Might Help You.
RE:
How do I integrate SINC x dx? How do integrate cosc x dx? How do integrate tanc x dx?
This is my bf's challenge for me to solve. If I can solve this, he will be mine for the whole day... but if I can't, I will be his for the whole day...
Help me, please? Is this function integrable? Or isn't?
2015-08-18 06:51:24 · answer #5 · answered by Sudie 1 · 0⤊ 0⤋
Hi,
I can help you with this. Send me please a request.
http://www.kasamba.com/Advice/VirtualOffice/ViewExpert.aspx?conmemid=169276
2006-09-10 20:46:42 · answer #6 · answered by AlexM 2 · 0⤊ 0⤋