Lecture9bc - Welcome to Math 122 Lecture 9 Survey of Calculus and its Applications I1 Instructor Quanlei Fang Dept of Math University at Buffalo Spring

Lecture9bc - Welcome to Math 122 Lecture 9 Survey of...

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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
Chapter 9 Techniques of Integration ! Integration by Substitution ! Integration by Parts ! Evaluation of Definite Integrals ! Approximation of Definite Integrals ! Some Applications of the Integral ! 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. x2+2x+3()6x+1()"dx
xex2"dxDetermine the integral by making an appropriate substitution. ln(tet)t"dtFind 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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