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

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 5.2, Problem 37P

To determine

(a)

Use a graph of the integrand ∫013tdt 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 ∫013tdt.

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Chapter 5.2, Problem 36P

Chapter 5.2, Problem 38P

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(a) Use a graph of the integrand ∫ 0 1 3 t d t to make a rough estimate of the integral . Explain your reasoning.