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Review Sheet –Math 202-Test 3
Chapter 14
1.
Be able to reverse the differentiation process and find anti-derivatives and indefinite integrals through rules
summarized on page 625 and 638.
Recognize that indefinite integrals involve the inclusion of a constant.
•
Be able to reverse a differentiation that involved the chain rule through use of substitution.
•
Be able to use algebraic techniques to rewrite functions in a form more easily integrated.
Such techniques
include:
o
Multiplication of factors;
o
Moving a constant into or out of an integral;
o
Breaking a rational expression of the form
c
b
a
+
into separate fractions of the form
c
b
c
a
+
or divide a
polynomial denominator
into
the numerator and integrate the quotient and remainder (stated as a
fraction).
o
Use of the exponential relationship
a
=
e
ln
a
.
2.
Be able to find a specific anti-derivative when given a general anti-derivative and information that leads to
identification of the constant.
3.

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