Chapter 5: Q. 49 (page 465)
Solve the integral
Chapter 5: Q. 49 (page 465)
Solve the integral
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Get started for freeSolve the following two ways:
(a) with the trigonometric substitution x = 3 tan u;
(b) with algebra and the derivative of the arctangent.
Find three integrals in Exercises 27–70 for which a good strategy is to use integration by parts with and dv the remaining part.
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
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.
Solve the integral:
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