1. This document provides a summary of basic integrals and trigonometric identities relevant for calculus. It lists 20 basic integrals involving functions like x, 1/x, e^x, sin(x), and cotan(x). 2. It also covers integral substitution, integration by parts, and trigonometric identities like sin^2(x) + cos^2(x) = 1. 3. Additional trigonometric identities are presented for functions like sin(x ± y), cos(x ± y), and tan(x ± y) in terms of sums and differences of trigonometric functions.