Timeline for How can I check integration $\int_0^c \exp\left(-ax+\frac bx\right)~dx$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2024 at 20:22 | history | undeleted | Nasser | ||
| Nov 17, 2024 at 0:54 | history | deleted | Nasser | via Vote | |
| Jun 23, 2024 at 15:18 | comment | added | Ulrich Neumann | I think the documentation considers LeakyAquiferApprox[u_, eps_, n_Integer : 10]~NIntegrate[Exp[-y - eps/y]/y, {y, u, Infinity}] which, setting u==1 , equals K[0,1,eps] (notation from Mariusz Iwaniuk) .But QP needs c K[1, -b/c, a*c] | |
| Jun 23, 2024 at 10:28 | comment | added | Nasser | @UlrichNeumann I just copied the function from the help page, where it says also known as incomplete Bessel function) How should it be changed then? Is the help page wrong then? | |
| Jun 23, 2024 at 10:17 | comment | added | Ulrich Neumann | If I correctly undertand the documentation LeakyAquiferApprox[u,eps] approximates Integrate[Exp[-t-eps/t]/t,{t,u,Infinity}] . There is only linear t in the denominator, but here we need t^2 I think. Perhaps that's the reason for bad verification of your results? | |
| Jun 23, 2024 at 8:39 | history | answered | Nasser | CC BY-SA 4.0 |