Introduction of Triple Integration
We obtain volume of solid, G, by using triple intergrals in Cartesian Coordinate (x,y,z), as follow.
Volume, V = dV = dzdydx
Note that dz,dy,dx can be in any order
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Example
Use triple integrals to find the volume of the solid which is bounded above by z=4-2x-y and below by region R in the xy-plane: