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Chapter 5: Q 43. (page 452)
Solve the following integral.
Answer is
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Find three integrals in Exercises 27鈥�70 for which a good strategy is to apply integration by parts twice.
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
Solve the following two ways:
(a) with the trigonometric substitution x = 3 tan u;
(b) with algebra and the derivative of the arctangent.
What is a rational function? What does it mean for a rational function to be proper? Improper?
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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