Chapter 5: Q 11. (page 451)
Describe strategy for solving the type of integral given.
even.
Short Answer
Write
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Chapter 5: Q 11. (page 451)
Describe strategy for solving the type of integral given.
even.
Write
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Find three integrals in Exercises 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).
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 and are essentially the same integral after a change of variables.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
Solve the following two ways:
(a) with the substitution
(b) by completing the square and then applying the trigonometric substitution x + 2 = 2 sec u.
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