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)

 

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.

 

 

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.