- #1
bugatti79
- 794
- 1
Folks,
When we are evaluating integrals like the following, what are we evaluating in terms of units etc.
For example if I integrate Fdx I get an area which represents the energy where F is the force and d is the displacement so the units are Nm etc.
1) Integrals over intervals
?
2)Double integrals over 2-D regions
Is this an area of a 2d surface?
3)Triple integrals over 3-D solids
Is this an area of a 3d surface?
4)Line integrals along curves in 2-D space
5) Line integrals along curves in 3-D space
These 2 would not be an area becasue we are dealing with curves?
6) Integrals over surfaces in 3-D space?
Is this an area over 3-d surfaces/solids?
Hopefully some one can can clarify
I am asking this in the context of geometric surfaces like one would see in calculus books etc.
Thanks
When we are evaluating integrals like the following, what are we evaluating in terms of units etc.
For example if I integrate Fdx I get an area which represents the energy where F is the force and d is the displacement so the units are Nm etc.
1) Integrals over intervals
?
2)Double integrals over 2-D regions
Is this an area of a 2d surface?
3)Triple integrals over 3-D solids
Is this an area of a 3d surface?
4)Line integrals along curves in 2-D space
5) Line integrals along curves in 3-D space
These 2 would not be an area becasue we are dealing with curves?
6) Integrals over surfaces in 3-D space?
Is this an area over 3-d surfaces/solids?
Hopefully some one can can clarify
I am asking this in the context of geometric surfaces like one would see in calculus books etc.
Thanks