http://www.mapleprimes.com/posts/129832-Integration-Anomaly en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 18:34:09 GMT Tue, 09 Jun 2026 18:34:09 GMT The latest comments added to the Post, Integration anomaly http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/129832-Integration-Anomaly http://www.mapleprimes.com/posts/129832-Integration-Anomaly?ref=Feed:MaplePrimes:Integration anomaly:Comments#comment129963 <p>For whatever it's worth</p> <pre>&gt; f := s -&gt; (1-s^2)/((1+s^2)*sqrt(1+s^4)): &gt; &gt; value(Int(f(s), s = -1 .. 1)); # the problem (or, using just `int`) 1 (1/2) - - Pi 2 4 &gt; IntegrationTools:-Split(Int(f(s), s = -1 .. 1), 0); / /0 \ | | 2 | | | 1 - s | | | ---------------------- ds| | | (1/2) | |/-1 / 2\ / 4\ | \ \1 + s / \1 + s / / / /1 \ | | 2 | | | 1 - s | + | | ---------------------- ds| | | (1/2) | |/0 / 2\ / 4\ | \ \1 + s / \1 + s / / &gt; map(value, %); 1 (1/2) - Pi 2 4 </pre> <p>Whether it is practical to attempt to program such a correction is a harder queestion. Without any kind of check for validity or attempt at general correctness ( ie. just for this example!)</p> <pre>&gt; q := int(f(s), s = 1 .. x); / (1/2) \ |/ 4\ (1/2)| 1 |\1 + x / 2 | (1/2) 1 (1/2) - - arctan|--------------------| 2 + - Pi 2 2 \ 2 x / 8 &gt; d := [discont(q, x)[]]; [0] d := select(z -&gt; -1 &lt; z and z &lt; 1, d); # might need `is`, or might fail! [0] &gt; value(IntegrationTools:-Split(Int(f(s), s = -1 .. 1), d)); 1 (1/2) - Pi 2 4 </pre> The latest comments added to the Post, Integration anomaly 129963 Mon, 23 Jan 2012 20:43:42 Z pagan pagan http://www.mapleprimes.com/posts/129832-Integration-Anomaly?ref=Feed:MaplePrimes:Integration anomaly:Comments#comment129967 <p>you may want to tag it as bug</p> The latest comments added to the Post, Integration anomaly 129967 Mon, 23 Jan 2012 22:45:02 Z Axel Vogt Axel Vogt