Chapter 5: Q. 49 (page 417)
Solve each of the integrals in Exercises 21–70. Some integrals require substitution, and some do not. (Exercise 69 involves a hyperbolic function.)
Short Answer
The solution of the given integral is .
Chapter 5: Q. 49 (page 417)
Solve each of the integrals in Exercises 21–70. Some integrals require substitution, and some do not. (Exercise 69 involves a hyperbolic function.)
The solution of the given integral is .
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Find three integrals in Exercises 21–70 that we can anti-differentiate immediately after algebraic simplification.
Find three integrals in Exercises 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
For each function u(x) in Exercises 9–12, write the differential du in terms of the differential dx.
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