Exer. 112: Evaluate the expression.

Calc III Lec Ch. 14.3 Surface Area 1. Surface area equals the double integral of the distance formula of the gradient a. Calc III Lec Ch. 14.4 Triple Integrals 1. The triple integral just adds on another bound of integration to the double integral. This additional bound can be a function of both other variables. a. Calc III Lec Ch. 14.5 Triple Integrals in Cylindrical Coordinates 1. A triple integral in cylindrical coordinates adds on a z bound to the double integral in polar coordinates a. Calc III Lec Ch. 14.6 Triple Integrals in Spherical Coordinates 1. Conversion Factors a. 2. Triple Integral for functions F of phi and theta, functions h of theta,