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271topics

# 271topics - MAT 271 Topics The following is a list of...

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MAT 271 Topics The following is a list of topics from MAT 271, which show you what you need to know for the final exam, and the sections of the book which deal with these topics. Items marked with an asterisk ( * ) are especially important. * • Know when and how to use Integration by Parts [7.1]. * • Know how to evaluate integrals of trigonometric functions (involving sin x and cos x , or involving sec x and tan x ) [7.2]. * • Know when and how to use Trigonometric Substitution [7.3]. * • Know how to integrate rational functions, using Partial Fractions [7.4]. Know how to approximate an integral and how to find a bound on the error in ap- proximating it [7.7]. * • Know how to evaluate improper integrals [7.8]. Know how to use integrals to find the area between two curves in the plane [6.1]. * • Know how to use integrals to find the volume of a generic shape [6.2] or the volume of a shape obtained by rotating a region in the plane around an axis, using the washer and cylindrical shell methods [6.3] Find the work needed to accomplish some task [6.4].
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