On Sun, Sep 6, 2020 at 5:03 AM Teodoro Coluccio <teodoro.coluc...@gmail.com> wrote:
> Can I perform triple integrals in a region of space I define? I'm trying > to migrate from mathematica to sage, and in mathematica I could go and > define a region of space (with various limitations) and then perform the > integral of a function on it. Here is an explanatory image: > [image: screen.png] > Is there a way to easily perform this operation even in sage? > 1) You have to integrate wrt z first, which I don't know whether Mma would understand without being told. sage: integral(integral(integral(x^*2*+*2**y*z, (z, y, (*2*-x-*2**y)/*3*)), (y, x, (*2*-x)/*2*)), (x, -*1*, *2*)) 1681/320 2) Using sympy (in sage, but I used https://live.sympy.org/): >>> var("x,y,z") (x, y, z)(x, y, z) >>> integrate(x*x+2*y*z, (z, y, (2-x-2*y)/3), (y, x, (2-x)/2), (x, -1, 2)) 1681/320 3) You can also do this in maxima (also included in sage). See https://themaximalist.org/tag/triple-integration/ for an example of how to use the syntax. 4) Instead of reposting the same question 3 times , it would be helpful to others with the same question just to keep the question in one thread. 5) Is this a homework problem for a math class? > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/2f4b4ec1-5661-490a-925d-6d038692bc0dn%40googlegroups.com > <https://groups.google.com/d/msgid/sage-support/2f4b4ec1-5661-490a-925d-6d038692bc0dn%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAEQuuAVewrVAf-xJbjsp_9dng0BtS_tFx54KtTf0mqyAE3hBBA%40mail.gmail.com.