Geometric meaning of reversing the limits of an integral

[Stephen Tashi]

The absolute value comes in with the word volume.

@mech-eng : Here's a related thread:
https://www.physicsforums.com/threads/change-of-variable-and-jacobians.905474/#post-5702972

 

[DennisHailey]

Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, the double integral of a positive function of two variables represents the volume of the region between the surface defined by the function and the plane that contains ...Integral Calculator

 

[fresh_42]

...Integral Calculator

See also
https://www.physicsforums.com/threa...h-physics-earth-and-other-curiosities.970262/