Lecture10bc - Welcome to Math 122 Lecture 10 Survey of Calculus and its Applications I1 Instructor Quanlei Fang Dept of Math University at Buffalo

Lecture10bc - Welcome to Math 122 Lecture 10 Survey of...

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Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 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.

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