The Volume as
a Triple Integral

Problem 1

Find the general formula as a triple integral in rectangular
coordinates that allows to find the volume between the lines *x*
= *a*, *x* = *b*, the curves *y* = *g*(*x*),
*y* = f(*x*), and the surfaces *z* = 0, *z*
= *F*(*x*, *y*)

Problem 2

Using a triple integral in rectangular coordinates,
determine the volume of the solid in the first octant limited by the
surface *z* = ,
and the planes *y* = *x*, *x* = 0, *y*
= 2, *z* = 0.

Problem 3

Using a triple integral in rectangular coordinates,
determine the volume of the solid in the first octant limited by the
cylinder

*y* = ,
and the planes *z *= *x,* *y* = 0, *z *=
0.