Solutions to Concepts Test for Chapter 8

Problem	Answer	Comment
1	True
2	True
3	False
4	False	Try substitution.
5	True	Compare with #4. Note that numerator is important.
6	False	This would work, but would require another substitution. What substitution could you use to put this in a known form in one step?
7	True
8	False
10	False
11	False	Did you try a substitution?
12	True
14	False	I would try a rationalizing substitution.
15	True
17	False	Integrand is not a proper rational function.
18	True
19	True
20	False	What term is missing?
21	False	This is correct if and only if a=1.
22	False	This is true if the linear polynomials are allowed to have complex coefficients.
23	True

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Last modified: 6 October 2003