ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 14 Sep 2020 03:54:37 +0200Integration on a region defined by an inequalityhttps://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/ 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.Tue, 11 Dec 2018 16:47:56 +0100https://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/Comment by slelievre for <p>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.</p>
https://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/?comment=44654#post-id-44654See also
- [Ask Sage question 10288: Integrate rational function over a polyhedral domain](https://ask.sagemath.org/question/10288)Wed, 12 Dec 2018 12:39:39 +0100https://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/?comment=44654#post-id-44654Comment by slelievre for <p>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.</p>
https://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/?comment=53449#post-id-53449This is doable if both of these conditions hold:
- the region is defined by linear inequalities
- the function is polynomial
See
- [Ask Sage question 53419: Triple integrals in a specific region of space](https://ask.sagemath.org/question/53419)Mon, 14 Sep 2020 03:54:37 +0200https://ask.sagemath.org/question/44636/integration-on-a-region-defined-by-an-inequality/?comment=53449#post-id-53449