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How can this 1/(x*sin(1/x)) be integrated? I am stuck.

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 Welcome to MO! As the FAQs explain this site is dedicated to question of a research rellated nature. Your question seems to be not of this type. A similar site math.stackexchange.com seems however a good place for your question. Perhaps provide some additional details tough; say what you tried to solve the problem. – quid Aug 26 at 17:47
On further thought, it might be that there is no elementary anti-derivative. If you look for some definite ingegral you should specify the bounds. (Likely this stays off-topic here, tough.) – quid Aug 26 at 17:52
Hi, I was looking for a hint,not an answer. So,the problems is that given f(x)= x*sin(1/x), x=/= 0 0, x=0. The problem was to find a solution for the differential equation dy/dt=f(y) so I got stuck with that integral – karim-jonson Aug 26 at 18:00
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 Thank you for the clarification. Not to be flippant, but on this site we do not do 'hints'. If you have a suitable (research level) question, please provide it with context and details. If not, please ask elsewhere, like the site I mentioned. – quid Aug 26 at 18:23

closed as too localized by Will Jagy, quid, Harald Hanche-Olsen, Andres Caicedo, Qiaochu Yuan Aug 26 at 18:13

1 Answer

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Try Liouville theorem ; as the obvious $u=1/x$ lend to integration of $\frac 1{u\sin u}$, it seems impossible indeed in elementary terms ; actually, Maple isn't even able to integrate it using special functions

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Which one? Thanks – karim-jonson Aug 26 at 18:17
This one : en.wikipedia.org/wiki/… – Feldmann Denis Aug 28 at 8:25

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