Instructor: Quanlei FangDept. of Math, University at Buffalo, Spring 2009Welcome toMath 122 Lecture 10 Survey of Calculus and its Applications I1 !Integration by Substitution If u= g(x), then
§ 9.2 Integration by Parts !Integration by Parts !Using Integration by Parts
G(x) is an antiderivative of g(x). We can also write this as !When u-substitution does not work !When there is a mix of two types of functions such as an exponential and polynomial, polynomial and log, etc. !When all else fails.
Choose which of two functions is to be u?L: Logarithmic functions I: inverse trigonometric functions A: : Algebraic functions T: trigonometric functions E: Exponential functions.