Chapter 13.7, Problem 5E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 1-20, evaluate the improper integrals that converge.

To determine

**To calculate:** The value of the improper integral

Explanation

**Given Information:**

The provided integral is,

**Formula used:**

According to the exponential rule of integrals,

If the limit defining the improper integral is a unique finite number, then integral converges else it diverges,

**Calculation:**

Consider the provided integral,

Now, use the formula,

To rewrite the integral as,

Now, use the exponential rule of integrals to evaluate the integral

Sect-13.1 P-1CPSect-13.1 P-2CPSect-13.1 P-1ESect-13.1 P-2ESect-13.1 P-3ESect-13.1 P-4ESect-13.1 P-5ESect-13.1 P-6ESect-13.1 P-7ESect-13.1 P-8E

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P-29ESect-13.3 P-30ESect-13.3 P-31ESect-13.3 P-32ESect-13.3 P-33ESect-13.3 P-34ESect-13.3 P-35ESect-13.3 P-36ESect-13.3 P-37ESect-13.3 P-38ESect-13.3 P-39ESect-13.3 P-40ESect-13.3 P-41ESect-13.3 P-42ESect-13.3 P-43ESect-13.3 P-44ESect-13.3 P-45ESect-13.3 P-46ESect-13.3 P-47ESect-13.3 P-48ESect-13.3 P-49ESect-13.3 P-50ESect-13.4 P-1CPSect-13.4 P-2CPSect-13.4 P-3CPSect-13.4 P-1ESect-13.4 P-2ESect-13.4 P-3ESect-13.4 P-4ESect-13.4 P-5ESect-13.4 P-6ESect-13.4 P-7ESect-13.4 P-8ESect-13.4 P-9ESect-13.4 P-10ESect-13.4 P-11ESect-13.4 P-12ESect-13.4 P-13ESect-13.4 P-14ESect-13.4 P-15ESect-13.4 P-16ESect-13.4 P-17ESect-13.4 P-18ESect-13.4 P-19ESect-13.4 P-20ESect-13.4 P-21ESect-13.4 P-22ESect-13.4 P-23ESect-13.4 P-24ESect-13.4 P-25ESect-13.4 P-26ESect-13.4 P-27ESect-13.4 P-28ESect-13.4 P-29ESect-13.4 P-30ESect-13.4 P-31ESect-13.4 P-32ESect-13.4 P-33ESect-13.4 P-34ESect-13.4 P-35ESect-13.4 P-36ESect-13.5 P-1CPSect-13.5 P-2CPSect-13.5 P-3CPSect-13.5 P-4CPSect-13.5 P-5CPSect-13.5 P-6CPSect-13.5 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P-24ESect-13.6 P-25ESect-13.6 P-26ESect-13.6 P-27ESect-13.6 P-28ESect-13.6 P-29ESect-13.6 P-30ESect-13.6 P-31ESect-13.6 P-32ESect-13.6 P-33ESect-13.6 P-34ESect-13.6 P-35ESect-13.6 P-36ESect-13.6 P-37ESect-13.6 P-38ESect-13.7 P-1CPSect-13.7 P-2CPSect-13.7 P-1ESect-13.7 P-2ESect-13.7 P-3ESect-13.7 P-4ESect-13.7 P-5ESect-13.7 P-6ESect-13.7 P-7ESect-13.7 P-8ESect-13.7 P-9ESect-13.7 P-10ESect-13.7 P-11ESect-13.7 P-12ESect-13.7 P-13ESect-13.7 P-14ESect-13.7 P-15ESect-13.7 P-16ESect-13.7 P-17ESect-13.7 P-18ESect-13.7 P-19ESect-13.7 P-20ESect-13.7 P-21ESect-13.7 P-22ESect-13.7 P-23ESect-13.7 P-24ESect-13.7 P-25ESect-13.7 P-26ESect-13.7 P-27ESect-13.7 P-28ESect-13.7 P-29ESect-13.7 P-30ESect-13.7 P-31ESect-13.7 P-32ESect-13.7 P-33ESect-13.7 P-34ESect-13.7 P-35ESect-13.7 P-36ESect-13.7 P-37ESect-13.7 P-38ESect-13.7 P-39ESect-13.7 P-40ESect-13.7 P-41ESect-13.7 P-42ESect-13.7 P-43ESect-13.7 P-44ESect-13.7 P-45ESect-13.7 P-47ESect-13.8 P-1CPSect-13.8 P-2CPSect-13.8 P-3CPSect-13.8 P-1ESect-13.8 P-2ESect-13.8 P-3ESect-13.8 P-4ESect-13.8 P-5ESect-13.8 P-6ESect-13.8 P-7ESect-13.8 P-8ESect-13.8 P-9ESect-13.8 P-10ESect-13.8 P-11ESect-13.8 P-12ESect-13.8 P-13ESect-13.8 P-14ESect-13.8 P-15ESect-13.8 P-16ESect-13.8 P-17ESect-13.8 P-18ESect-13.8 P-19ESect-13.8 P-20ESect-13.8 P-21ESect-13.8 P-22ESect-13.8 P-23ESect-13.8 P-24ESect-13.8 P-25ESect-13.8 P-26ESect-13.8 P-27ESect-13.8 P-28ESect-13.8 P-29ESect-13.8 P-30ESect-13.8 P-31ESect-13.8 P-32ESect-13.8 P-33ESect-13.8 P-34ECh-13 P-1RECh-13 P-2RECh-13 P-3RECh-13 P-4RECh-13 P-5RECh-13 P-6RECh-13 P-7RECh-13 P-8RECh-13 P-9RECh-13 P-10RECh-13 P-11RECh-13 P-12RECh-13 P-13RECh-13 P-14RECh-13 P-15RECh-13 P-16RECh-13 P-17RECh-13 P-18RECh-13 P-19RECh-13 P-20RECh-13 P-21RECh-13 P-22RECh-13 P-23RECh-13 P-24RECh-13 P-25RECh-13 P-26RECh-13 P-27RECh-13 P-28RECh-13 P-29RECh-13 P-30RECh-13 P-31RECh-13 P-32RECh-13 P-33RECh-13 P-34RECh-13 P-35RECh-13 P-36RECh-13 P-37RECh-13 P-38RECh-13 P-39RECh-13 P-40RECh-13 P-41RECh-13 P-42RECh-13 P-43RECh-13 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