From: Dieter K. <cra...@us...> - 2010-07-02 20:53:42
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Update of /cvsroot/maxima/maxima/tests In directory sfp-cvsdas-4.v30.ch3.sourceforge.com:/tmp/cvs-serv31522/tests Modified Files: rtestint.mac Log Message: Adding an example related to the bug report ID: 3023997 - integrate(x*atan2(x,y),x) -> noun form Index: rtestint.mac =================================================================== RCS file: /cvsroot/maxima/maxima/tests/rtestint.mac,v retrieving revision 1.53 retrieving revision 1.54 diff -u -d -r1.53 -r1.54 --- rtestint.mac 29 Mar 2010 02:33:13 -0000 1.53 +++ rtestint.mac 2 Jul 2010 20:53:33 -0000 1.54 @@ -1075,6 +1075,12 @@ integrate(atan2(y,x),y); y*atan(y/x)-(x*log(y^2/x^2+1)/2); +/* Bug ID: 3023997 - integrate(x*atan2(x,y),x) -> noun form + * We have generalized the special case for the atan2 function. + */ +integrate(y*atan2(y,x),y); +y^2*atan(y/x)/2-(x^2*y-x^3*atan(y/x))/(2*x); + /* [ 2501765 ] integrate((-14*x^2-32)/(x^4+3*x^2+1)^2,x,0,inf); */ integrate(1/(x^4+3*x^2+1)^2,x,0,inf); (sqrt(3-sqrt(5))*(3*sqrt(2)*sqrt(5)+15*sqrt(2))*%pi |