Integration on a region defined by an inequality

asked 2018-12-11 16:47:56 +0100

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.

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slelievre gravatar imageslelievre ( 2018-12-12 12:39:39 +0100 )edit

This is doable if both of these conditions hold:

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

See

slelievre gravatar imageslelievre ( 2020-09-14 03:54:37 +0100 )edit
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