Explanation Given: The provided improper integral is ∫ − ∞ − 1 2 x 3 d x . Calculation: Consider the provided improper integral, ∫ − ∞ − 1 2 x 3 d x Use the definition of improper integral to write above integral as, ∫ − ∞ − 1 2 x 3 d x = lim b → − ∞ ∫ b − 1 2 x 3 d x Now, use the fundamental theorem of calculus for the value of ∫ b − 1 2 x 3 d x . ∫ b − 1 2 x 3 d x = 2 ∫ b − 1 x − 3

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 8.4, Problem 5E

To determine

To find:

The value of provided improper integral ∫−∞−12x3dx that converges and also determine the improper integral is converges or diverges.

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Chapter 8.4, Problem 4E

Chapter 8.4, Problem 6E

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The value of provided improper integral ∫ − ∞ − 1 2 x 3 d x that converges and also determine the improper integral is converges or diverges.

Solution Summary: The author explains that the value of provided improper integral is -1 and the improper is converges or diverges.

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To find:

The value of provided improper integral ∫−∞−12x3dx that converges and also determine the improper integral is converges or diverges.

Want to see the full answer?

Chapter 8 Solutions

The value of provided improper integral ∫ − ∞ − 1 2 x 3 d x that converges and also determine the improper integral is converges or diverges.

Solution Summary: The author explains that the value of provided improper integral is -1 and the improper is converges or diverges.

Concept explainers

Videos

To find: The value of provided improper integral ∫−∞−12x3dx that converges and also determine the improper integral is converges or diverges.

Want to see the full answer?

Chapter 8 Solutions

To find:

The value of provided improper integral ∫−∞−12x3dx that converges and also determine the improper integral is converges or diverges.