Chapter 5: Q. 15 (page 464)
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Short Answer
Ans:
Chapter 5: Q. 15 (page 464)
Explain why, if , then is if and is if . Your explanation should include a discussion of domains and absolute values.
Ans:
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Get started for freeFor each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Find three integrals in Exercises 27–70 for which either algebra or u-substitution is a better strategy than integration by parts.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Solve the following two ways:
(a) with the trigonometric substitution x = 3 tan u;
(b) with algebra and the derivative of the arctangent.
Solve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
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