The volume of the region bounded by the cylinders x2 + y2 = 4 and x2 + z2 = 4 is:

Evaluate the triple integral: ∫0a ∫0x ∫0y xyz dz dy dx

Find the value of the double integral ∫01 ∫0√(1+x2) [dy dx / (1 + x2 + y2)].

The volume of the region bounded by the elliptic paraboloid z = 4 - x2 - y2 and the plane z = 0 is: