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Chapter 5: Q. 57 (page 429)
Solve each of the integrals in Exercises 27鈥�70. Some integrals require integration by parts, and some do not. (The last two exercises involve hyperbolic functions.)
The value of the integral is
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Solve given definite integral.
Describe two ways in which the long-division algorithm for polynomials is similar to the long-division algorithm for integers and then two ways in which the two algorithms are different.
Solve each of the integrals in Exercises 39鈥�74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Find three integrals in Exercises 21鈥�70 that we can anti-differentiate immediately after algebraic simplification.
Domains and ranges of inverse trigonometric functions: For each function that follows, (a) list the domain and range, (b) sketch a labeled graph, and (c) discuss the domains and ranges in the context of the unit circle.
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