Integration on a region defined by an inequality

asked 2018-12-11 09:47:56 -0500

maesumi gravatar image

Does Sage or Maxima have a routine for -directly- calculating an integral over a region defined implicitly by an inequality. Suppose region R is defined by "f(x,y) less than c" and we want to find "integral g(x,y) over R". Does Sage have a procedure for this? The required output will be a function of c.

edit retag flag offensive close merge delete


This is doable if both of these conditions hold:

  • the region is defined by linear inequalities
  • the function is polynomial


slelievre gravatar imageslelievre ( 2020-09-13 20:54:37 -0500 )edit