Explanation Given: The provided improper integral is ∫ − ∞ ∞ 2 x + 4 x 2 + 4 x + 5 d x . Calculation: Consider the provided improper integral, ∫ − ∞ ∞ 2 x + 4 x 2 + 4 x + 5 d x Use the definition of improper integral to write above integral as, ∫ − ∞ ∞ 2 x + 4 x 2 + 4 x + 5 d x = ∫ − ∞ 0 2 x + 4 x 2 + 4 x + 5 d x + ∫ 0 ∞ 2 x + 4 x 2 + 4 x + 5 d x = lim b → − ∞ ∫ b 0 2 x + 4 x 2 + 4 x + 5 d x + lim b → ∞ ∫ 0 b 2 x + 4 x 2 + 4 x + 5 d x Now, use the fundamental theorem of calculus for the value of ∫ b 0 2 x + 4 x 2 + 4 x + 5 d x + ∫ 0 b 2 x + 4 x 2 + 4 x + 5 d x .

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 30E

To determine

To find:

The value of provided improper integral ∫−∞∞2x+4x2+4x+5dx and also determine the improper integral is converges or diverges.

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Chapter 8.4, Problem 29E

Chapter 8.4, Problem 31E

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The value of provided improper integral ∫ − ∞ ∞ 2 x + 4 x 2 + 4 x + 5 d x and also determine the improper integral is converges or diverges.

Solution Summary: The author analyzes the value of provided improper integral and determines whether it is converges or diverges.

Concept explainers

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To find:

The value of provided improper integral ∫−∞∞2x+4x2+4x+5dx 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 ∫ − ∞ ∞ 2 x + 4 x 2 + 4 x + 5 d x and also determine the improper integral is converges or diverges.

Solution Summary: The author analyzes the value of provided improper integral and determines whether it is converges or diverges.

Concept explainers

Videos

To find: The value of provided improper integral ∫−∞∞2x+4x2+4x+5dx 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 ∫−∞∞2x+4x2+4x+5dx and also determine the improper integral is converges or diverges.