Timeline for Solving the definite integral $\int_{0}^{2} \sqrt{(1+x)\sqrt{4x+1}-3x+1}dx$
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2021 at 2:09 | audit | Low quality posts | |||
| Apr 13, 2021 at 2:16 | |||||
| Apr 12, 2021 at 22:15 | vote | accept | Cyrus Roettern | ||
| Apr 11, 2021 at 19:54 | audit | Low quality posts | |||
| Apr 11, 2021 at 19:55 | |||||
| Apr 6, 2021 at 13:25 | comment | added | Mariusz Iwaniuk | Mathematica answer: $$4 \left(\, _2F_1\left(1,\frac{11}{6};\frac{4}{3};-1\right)+\, _2F_1\left(1,\frac{13}{6};\frac{5}{3};-1\right)\right)$$ | |
| Apr 6, 2021 at 5:24 | comment | added | Paramanand Singh♦ | @ClaudeLeibovici: I hope some expert in elliptic curves can provide us a with suitable rational substitution to get the integral evaluated in terms of gamma functions. But this is something a professor shouldn't ask students as a warm up exercise. At least I am not getting warmed up. | |
| Apr 6, 2021 at 5:05 | comment | added | Claude Leibovici | @NinadMunshi. I do not understand how could be asked this kind of questions ? Do you ? Cheers :-) | |
| Apr 6, 2021 at 4:59 | answer | added | Claude Leibovici | timeline score: 4 | |
| Apr 5, 2021 at 22:54 | comment | added | Ninad Munshi | As far as I got, with $4x+1=(u+1)^2$ we get $$\frac{1}{4}\int_0^2(u+1)\sqrt{u^3+8}\:du$$ | |
| Apr 5, 2021 at 22:02 | comment | added | user408858 | Might be helpful to work with arcsin: math.stackexchange.com/questions/533082/… | |
| Apr 5, 2021 at 21:39 | comment | added | David G. Stork | I couldn't find an analytic form, but numerical integration yields $3.23568$, which you might use to check an eventual answer. | |
| Apr 5, 2021 at 21:35 | review | First posts | |||
| Apr 5, 2021 at 21:38 | |||||
| Apr 5, 2021 at 21:33 | comment | added | user2661923 | Please edit your query to show all of your work, including failed efforts down paths that didn't work. Please do not respond with a comment. | |
| Apr 5, 2021 at 21:29 | history | asked | Cyrus Roettern | CC BY-SA 4.0 |