Explanation Given: ∫ 1 b 1 x 2 d x Calculation: Integral is given as ∫ 1 b 1 x 2 d x Using Fundamental theorem of calculus, we get ∫ 1 b 1 x 2 d x = ∫ 1 b x − 2 d x = [ x − 2 + 1 − 2 + 1 ] 1 b = < To determine (c) Show that the integral ∫ 1 ∞ 1 x 2 d x converges to 1 .

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ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 6.3, Problem 35P

To determine

(a)

To find the value of ∫1b1x2dx using Fundamental theorem of calculus.

To determine

(c)

Show that the integral ∫1∞1x2dx converges to 1.

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Chapter 6.3, Problem 34P

Chapter 6.3, Problem 36P

Chapter 6 Solutions

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(a) To find the value of ∫ 1 b 1 x 2 d x using Fundamental theorem of calculus.

Solution Summary: The author explains how to find the value of displaystyle 'underset' 1oversetbint, using the Fundamental theorem of calculus.

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(a)

To find the value of ∫1b1x2dx using Fundamental theorem of calculus.

(c)

Show that the integral ∫1∞1x2dx converges to 1.

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Chapter 6 Solutions

(a) To find the value of ∫ 1 b 1 x 2 d x using Fundamental theorem of calculus.

Solution Summary: The author explains how to find the value of displaystyle 'underset' 1oversetbint, using the Fundamental theorem of calculus.

Concept explainers

Videos

(a) To find the value of ∫1b1x2dx using Fundamental theorem of calculus.

(c) Show that the integral ∫1∞1x2dx converges to 1.

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Chapter 6 Solutions

(a)

To find the value of ∫1b1x2dx using Fundamental theorem of calculus.

(c)

Show that the integral ∫1∞1x2dx converges to 1.