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Triple integrals in a specific region of space

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: (I'm sorry, but I don't have the points needed to upload the image) Is there a way to easily perform this operation even in sage?

Triple integrals in a specific region of space

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:link:screen (I'm sorry, but I don't have the points needed to upload the image) Is there a way to easily perform this operation even in sage?

Triple integrals in a specific region of space

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:

link:screen (I'm sorry, but I don't have the points needed to upload the image) image)

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

Triple integrals in a specific region of space

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:

link:screen (I'm sorry, but I don't have the points needed to upload the image)

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

 5 None slelievre 17654 ●22 ●160 ●348 http://carva.org/samue...

Triple integrals in a specific region of space

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:it.

link:screen (I'm sorry, but I don't have the points needed to upload the image)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)]


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

 6 None slelievre 17654 ●22 ●160 ●348 http://carva.org/samue...

Triple integrals in a specific region of space

Can I perform a triple integrals integral in a region of space I define? define? I'm trying to migrate from mathematica Mathematica to sage, Sage, and in mathematica Mathematica I could go and define a region of space space (with various limitations) and then perform the integral 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)]


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