Explanation Given information: ∫ 1 2 x x d x Calculation: By using the graph of the integrand to make a rough estimate of the integral As per graph of x x in range of x = 1 to x = 2 So making Δ x = 0.5 and n = 2 − 1 Δ x = 2 Now f ( 1 ) = 1 f ( 1.5 ) = 1.5 1.5 f ( 2 ) = 4 Hence Lower Sum will be I = ∫ 1 2 x x d x = 0.5 ⋅ ( f ( 1 ) + f ( 1 To determine (b) Use a computer or calculator to find the value of the definite integral ∫ 1 2 x x d x .

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5.2, Problem 38P

To determine

(a)

Use a graph of the integrand ∫12xxdx to make a rough estimate of the integral. Explain your reasoning.

To determine

(b)

Use a computer or calculator to find the value of the definite integral ∫12xxdx.

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Chapter 5.2, Problem 37P

Chapter 5.2, Problem 39P

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Chapter 5 Solutions

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(a) Use a graph of the integrand ∫ 1 2 x x d x to make a rough estimate of the integral. Explain your reasoning.

Solution Summary: The author explains how to use a graph of the integrand to estimate the integral. The required value is 2.16.

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Videos

(a)

Use a graph of the integrand ∫12xxdx to make a rough estimate of the integral. Explain your reasoning.

(b)

Use a computer or calculator to find the value of the definite integral ∫12xxdx.

Want to see the full answer?

Chapter 5 Solutions

(a) Use a graph of the integrand ∫ 1 2 x x d x to make a rough estimate of the integral. Explain your reasoning.

Solution Summary: The author explains how to use a graph of the integrand to estimate the integral. The required value is 2.16.

Concept explainers

Videos

(a) Use a graph of the integrand ∫12xxdx to make a rough estimate of the integral. Explain your reasoning.

(b) Use a computer or calculator to find the value of the definite integral ∫12xxdx.

Want to see the full answer?

Chapter 5 Solutions

(a)

Use a graph of the integrand ∫12xxdx to make a rough estimate of the integral. Explain your reasoning.

(b)

Use a computer or calculator to find the value of the definite integral ∫12xxdx.