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2020-09-12 20:03:25 +0200 commented question Triple integrals in a specific region of space

Symbolically

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2020-09-12 12:50:48 +0200 asked a question Triple integrals in a specific region of space

Can I perform a triple integral 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.

In Mathematica:

reg = ImplicitRegion[x + 2 y + 3 z < 2 && -1 < x < y < z < 1, {x, y, z}];
integral[{x, y, z} in reg, (x^2 + 2 y z)]

mathematica-polyhedral-region-integrate-polynomial

Is there a way to easily perform this operation even in Sage?

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2020-09-06 02:36:38 +0200 commented answer I'm searching to perform this multivariate limit (correctly)

Got it, you've been very helpful. ps I wanted to write "limits", but I was solving integrals at that time ...

2020-09-05 18:39:17 +0200 commented answer I'm searching to perform this multivariate limit (correctly)

OK thanks. The problem is that I know how to perform this type of integrals, I just need a tool that gives me confirmation of the goodness of the results

2020-09-05 11:36:13 +0200 asked a question I'm searching to perform this multivariate limit (correctly)

I'm searching to perform this kind of limit (without restricting and executing the limit to a variable):

$$ \lim_{(x, y)\to(0, 0)}\frac{x^3y}{x^6+y^2} $$ In the documentation I didn't find a multivariate limit function..