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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]
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This note was uploaded on 02/24/2009 for the course MAT 26996 taught by Professor Hurlbert during the Spring '08 term at ASU.
 Spring '08
 Hurlbert
 Calculus

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