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Lecture9bc - Improper Integrals  9.1 Integration by...

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Instructor: Quanlei Fang Dept. of Math, University at Buffalo, Spring 2009 Welcome to Math 122 Lecture 9 Survey of Calculus and its Applications I1 ! Functions of Several Variables ! Partial Derivatives ! Finding Relative Maxima and Minima ! Lagrange Multipliers and Constrained Optimization ! The methods of Least Squares
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Chapter 9 Techniques of Integration ! Integration by Substitution ! Integration by Parts ! Evaluation of Definite Integrals ! Approximation of Definite Integrals ! Some Applications of the Integral
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Unformatted text preview: ! Improper Integrals § 9.1 Integration by Substitution ! Differentiation and Integration Formulas ! Integration by Substitution ! Using Integration by Substitution If u = g ( x ), then Determine the integral by making an appropriate substitution. x 2 + 2 x + 3 ( ) 6 x + 1 ( ) " dx xe x 2 " dx Determine the integral by making an appropriate substitution. ln( te t ) t " dt Find the integral 1. x 3 1 " x 4 # dx 2. 1 y 2 e 1 y # dy Find the following integrals...
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