This document contains mathematical expressions and integrals for calculating volumes and derivatives. It includes: 1) An integral from -1 to 1 of (1-x^2)^-1/2 dx to find the volume under a curve. 2) Taking the derivative of (1-x^2)^-1 with respect to x and adding a constant C. 3) An integral from 1 to 3 of x^2(x^3-1)^-1/2 dx to calculate another volume.