Explanation Given Information: The provided integral is, ∫ 0 ∞ 5 e − 3 x d x Formula used: According to the exponential rule of integrals, ∫ e x d x = e x + C If the limit defining the improper integral is a unique finite number, then integral converges else it diverges, ∫ a ∞ f ( x ) d x = lim b → ∞ ∫ a b f ( x ) d x Calculation: Consider the provided integral, ∫ 0 ∞ 5 e − 3 x d x Now, use the formula, ∫ a ∞ f ( x ) d x = lim b → ∞ ∫ a b f ( x ) d x To rewrite the integral as, ∫ 0 ∞ 5 e − 3 x d x = lim b → ∞

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Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 13, Problem 33RE

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To calculate: The value of the improper integral ∫0∞5e−3xdx if it converges.

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Chapter 13, Problem 32RE

Chapter 13, Problem 34RE

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Chapter 13 Solutions

MATHEMATICAL APPLICATIONS FOR THE MGT

Ch. 13.1 - CHECKPOINT 1. For the interval [0, 2]. determine...Ch. 13.1 - Prob. 2CP Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E

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The value of the improper integral ∫ 0 ∞ 5 e − 3 x d x if it converges.

Solution Summary: The author calculates the value of the provided integral by using the exponential rule of integrals.

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To calculate: The value of the improper integral ∫0∞5e−3xdx if it converges.

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