Timeline for Closed form answer to a naive integral [closed]
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| when toggle format | what | by | license | comment | |
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| Sep 1, 2015 at 11:59 | history | closed |
Lucia Marco Golla Neil Strickland Stefan Kohl♦ Joonas Ilmavirta |
Needs details or clarity | |
| Sep 1, 2015 at 7:15 | comment | added | Igor Khavkine | Just to be more specific about the reason why the integral is unlikely to have a nice "closed" form, it is an integral of an algebraic function defined by an irreducible polynomial or genus 3 (at least so Maple tells me). Such "Abelian integrals" are in general not elementary. For comparison, if the integrand came from a genus 1 polynomial, it would be expressible in "incomplete elliptic integrals". So, the answer you would get here would be two complexity steps beyond that. | |
| Aug 31, 2015 at 23:51 | review | Close votes | |||
| Sep 1, 2015 at 11:59 | |||||
| Aug 31, 2015 at 20:21 | comment | added | Carlo Beenakker | you want an indefinite integral? (the upper limit as it is written now makes no sense); in any case, an exact answer will not be forthcoming, and for an approximation you'll want to tell us something about these numbers $a$ and $b$. | |
| Aug 31, 2015 at 20:12 | review | First posts | |||
| Aug 31, 2015 at 20:17 | |||||
| Aug 31, 2015 at 20:08 | history | asked | nikah amber | CC BY-SA 3.0 |