Timeline for A discrepancy between the analytical and numerical integration results
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2018 at 17:50 | comment | added | anderstood | Thank you for the explanation. | |
| Feb 28, 2018 at 17:23 | comment | added | Michael E2 | @anderstood The region is compact and outside a (half) disk of radius $\epsilon$ at the origin the function is bounded; and the integral over the half disk is $16 \sqrt{\epsilon}\,/\,21$, and so vanishes as $\epsilon \rightarrow 0$. Hence, with the aid of Fubini's theorem, one can show the order does not matter. (In polar coordinates, the integrand is rather easy to understand.) | |
| Feb 28, 2018 at 16:30 | comment | added | anderstood | What allows you to reverse the order of integration? See for instance with Integrate[(x^2 - y^2)/(x^2 + y^2)^2, {x, 1, Infinity}, {y, 1, Infinity}] (taken from wikipedia). | |
| Feb 27, 2018 at 23:52 | history | answered | Michael E2 | CC BY-SA 3.0 |