Explanation Given information: ∫ 0 3 x d x Calculation: By using the graph of the integrand to make a rough estimate of the integral As per graph of x in range of x = 0 to x = 3 So making Δ x = 1 and n = 3 − 0 Δ x = 3 Now f ( 0 ) = 0 f ( 1 ) = 1 f ( 2 ) = 2 and f ( 3 ) = 3 Hence Lower Sum will be I = ∫ 0 3 x d x = 1 ⋅ To determine (b) Use a computer or calculator to find the value of the definite integral ∫ 0 3 x d x .

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 5.2, Problem 36P

To determine

(a)

Use a graph of the integrand ∫03xdx 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 ∫03xdx.

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Chapter 5.2, Problem 35P

Chapter 5.2, Problem 37P

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Chapter 5 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) Use a graph of the integrand ∫ 0 3 x d x to make a rough estimate of the integral . Explain your reasoning.

Solution Summary: The author explains how to estimate the integral using a graph of the integrand. The required value is 3.28.

Concept explainers

Videos

(a)

Use a graph of the integrand ∫03xdx 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 ∫03xdx.

Want to see the full answer?

Chapter 5 Solutions

(a) Use a graph of the integrand ∫ 0 3 x d x to make a rough estimate of the integral . Explain your reasoning.

Solution Summary: The author explains how to estimate the integral using a graph of the integrand. The required value is 3.28.

Concept explainers

Videos

(a) Use a graph of the integrand ∫03xdx 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 ∫03xdx.

Want to see the full answer?

Chapter 5 Solutions

(a)

Use a graph of the integrand ∫03xdx 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 ∫03xdx.