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