Explanation Given: The inequality for x ≥ 2 1 x 5 + 1 x 10 + 1 x 15 < 1 x 5 − 1 < 1 x 5 + 1 x 10 + 2 x 15 Formula used: An infinite limit integral is solved as: ∫ a ∞ f ( x ) d x = lim b → ∞ ∫ a b f ( x ) d x Calculation: The inequality given is: 1 x 5 + 1 x 10 + 1 x 15 < 1 x 5 − 1 < 1 x 5 + 1 x 10 + 2 x 15 Integrate within the limits ∫ 2 ∞ 1 x 5 + 1 x 10 + 1 x 15 d x < ∫ 2 ∞ 1 x 5 − 1 d x < ∫ 2 ∞ 1 x 5 + 1 x 10 + 2 x 15 d x Solve the limit as below: lim a → ∞ ∫ 2 a 1 x 5 + 1 x 10 + 1 x 15 d x < ∫ 2 a 1 x 5 x

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ISBN: 9781337678445

Author: Larson, Edward

Publisher: CENGAGE L

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Chapter 8, Problem 18PS

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To calculate: The approximate value of the integral ∫2∞1x5−1dx using the inequality 1x5+1x10+1x15<1x5−1<1x5+1x10+2x15

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Chapter 8, Problem 17PS

Chapter 8, Problem 19PS

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Chapter 8 Solutions

CALCULUS EARLY TRANSCENDENTAL FUNCTIONS

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The approximate value of the integral ∫ 2 ∞ 1 x 5 − 1 d x using the inequality 1 x 5 + 1 x 10 + 1 x 15 < 1 x 5 − 1 < 1 x 5 + 1 x 10 + 2 x 15

Solution Summary: The author explains how to calculate the approximate value of an infinite limit integral using the inequality.

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To calculate: The approximate value of the integral ∫2∞1x5−1dx using the inequality 1x5+1x10+1x15<1x5−1<1x5+1x10+2x15

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Chapter 8 Solutions

The approximate value of the integral ∫ 2 ∞ 1 x 5 − 1 d x using the inequality 1 x 5 + 1 x 10 + 1 x 15 &lt; 1 x 5 − 1 &lt; 1 x 5 + 1 x 10 + 2 x 15

Solution Summary: The author explains how to calculate the approximate value of an infinite limit integral using the inequality.

Videos

To calculate: The approximate value of the integral ∫2∞1x5−1dx using the inequality 1x5+1x10+1x15<1x5−1<1x5+1x10+2x15

Want to see the full answer?

Chapter 8 Solutions

The approximate value of the integral ∫ 2 ∞ 1 x 5 − 1 d x using the inequality 1 x 5 + 1 x 10 + 1 x 15 < 1 x 5 − 1 < 1 x 5 + 1 x 10 + 2 x 15