Chapter 5: Q. 32 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
Short Answer
The improper integral diverges.
Chapter 5: Q. 32 (page 478)
Use limits of definite integrals to calculate each of the improper integrals in Exercises.
The improper integral diverges.
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Get started for freeSolve 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:
Solve the integral:.
Find three integrals in Exercises 21–70 in which the denominator of the integrand is a good choice for a substitution u(x).
Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
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