Chapter 5: Q. 6 (page 417)
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Short Answer
The three integrals will have form after a substitution of variables.
Chapter 5: Q. 6 (page 417)
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
The three integrals will have form after a substitution of variables.
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Solve the integralthree ways:
(a) with the substitution followed by back substitution;
(b) with integration by parts, choosing localid="1648814744993"
(c) with the trigonometric substitution x = sec u.
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
Problem Zero: Read the section and make your own summary of the material.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
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