Chapter 5: Q. 48 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
Short Answer
The value is.
Chapter 5: Q. 48 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.
The value is.
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Get started for freeDomains 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.
Solve the integral:
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
Solve 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 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).
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