So, this is what I'm actually trying to integrate: sage: n(integrate(x * sgn(x^2 - 1/4), x, -1, 0)) 0.500000000000000
But, the function within sgn() has only one root on (-1, 0), sage: (x^2 - 1/4).roots() [(-1/2, 1), (1/2, 1)] We can check the value of sgn() on both subintervals: sage: sgn(x^2 - 1/4)(x = -0.75) 1 sage: sgn(x^2 - 1/4)(x = -0.25) -1 So that first integral should be equal to the sum of the following, sage: n(integrate(x, x, -1, -0.5)) -0.375000000000000 sage: n(integrate(-x, x, -0.5, 0)) 0.125000000000000 So it looks like integrate or sgn is getting confused, unless I n()ed too early or missed a cast somewhere. -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
