Explanation Given information: ∫ 0 1 x 3 d x Calculation: By using the graph of the integrand to make a rough estimate of the integral As per graph of x 3 in range of x = 0 to x = 1 So making Δ x = 0.5 and n = 1 Δ x = 2 Now f ( 0 ) = 0 f ( 0.5 ) = 0.125 f ( 1 ) = 1 Hence Lower Sum will be I = ∫ 0 1 x 3 d x = 0 To determine (b) Use a computer or calculator to find the value of the definite integral ∫ 0 1 x 3 d x .

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 5.2, Problem 35P

To determine

(a)

Use a graph of the integrand ∫01x3dx 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 ∫01x3dx.

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Chapter 5.2, Problem 34P

Chapter 5.2, Problem 36P

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Chapter 5 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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(a) Use a graph of the integrand ∫ 0 1 x 3 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 will be 0.3125.

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Videos

(a)

Use a graph of the integrand ∫01x3dx 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 ∫01x3dx.

Want to see the full answer?

Chapter 5 Solutions

(a) Use a graph of the integrand ∫ 0 1 x 3 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 will be 0.3125.

Concept explainers

Videos

(a) Use a graph of the integrand ∫01x3dx 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 ∫01x3dx.

Want to see the full answer?

Chapter 5 Solutions

(a)

Use a graph of the integrand ∫01x3dx 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 ∫01x3dx.