What is the physical significance of the integral of a 3d function?

[cirthix]

 

[RaynorWolfcastle]

could be anything. Say you have particulate matter in a volume of air with some 3D function expressing the distribution. By taking the integral of the 3D function, you find the total quantity of particulate matter in that volume. This is just one example, there are plenty of other ones.

 

[esun]

If you take multivariable calculus, it will become apparent what the physical significance of integrating 2D and 3D functions are. Until then, you have to take it on faith to some degree.

 

[cirthix]

Originally posted by: esun
If you take multivariable calculus, it will become apparent what the physical significance of integrating 2D and 3D functions are. Until then, you have to take it on faith to some degree.

that's what we're just starting to cover, since the start of this thread

 

[bonkers325]

double and triple integrals are used in fluid mechanics. thats about all i know.