Chapter 5: Q. 33 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
Short Answer
The improper integral on diverges.
Chapter 5: Q. 33 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
The improper integral on diverges.
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Get started for freeFind three integrals in Exercises 27–70 for which either algebra or u-substitution is a better strategy than integration by parts.
Solve given definite integrals.
Suppose you use polynomial long division to divide p(x) by q(x), and after doing your calculations you end up with the polynomial as the quotient above the top line, and the polynomial 3x − 1 at the bottom as the remainder. Then
Find three integrals in Exercises 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).
Solvethe following two ways:
(a) with the substitution
(b) with the trigonometric substitution x = 2 tan u.
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