Explanation Given: The integral: I = ∫ − 1 1 d x x 1 3 Formula used: I = ∫ a b f ( x ) d x = [ F ( x ) ] a b = F ( b ) − F ( a ) Calculation: The integral we have I = ∫ − 1 1 d x x 1 3 = ∫ − 1 1 x − 1 3 d x = 3 2 [ x

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 8.7, Problem 49E

To determine

The value of the integral

$I = \int_{- 1}^{1} \frac{d x}{x^{\frac{1}{3}}}$

Whether the given integral is convergent.

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Chapter 8.7, Problem 48E

Chapter 8.7, Problem 50E

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Chapter 8 Solutions

Calculus - Standalone book

Ch. 8.1 - Prob. 1PQ Ch. 8.1 - Prob. 2PQ Ch. 8.1 - Prob. 3PQ Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E

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The value of the integral I = ∫ − 1 1 d x x 1 3 Whether the given integral is convergent.

Solution Summary: The author explains that the given integral converges to finite value zero.

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The value of the integral

$I = \int_{- 1}^{1} \frac{d x}{x^{\frac{1}{3}}}$

Whether the given integral is convergent.

Want to see the full answer?

Chapter 8 Solutions

The value of the integral I = ∫ − 1 1 d x x 1 3 Whether the given integral is convergent.

Solution Summary: The author explains that the given integral converges to finite value zero.

Concept explainers

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The value of the integral I=∫−11dxx13 Whether the given integral is convergent.

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Chapter 8 Solutions

The value of the integral

$I = \int_{- 1}^{1} \frac{d x}{x^{\frac{1}{3}}}$

Whether the given integral is convergent.