1. The document discusses properties of definite integrals, including: the integral of kf(x) from a to b equals k times the integral of f(x) from a to b; the integral of f(x) + g(x) from a to b equals the integral of f(x) from a to b plus the integral of g(x) from a to b; and the integral of f(x) - g(x) from a to b equals the integral of f(x) from a to b minus the integral of g(x) from a to b. 2. It provides an example problem that applies these properties to evaluate the integral of (2x^3 - 3