Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question

We want to use a left Riemann sum to estimate the value of the definite integral.

a) If we divide the interval [5,7] into 4 sub-intervals of the same length, we obtain 4 intervals of the form [xi,xi+1] whose union gives the interval [5,7]. Give the ends of these intervals starting from the left and going to the right. Don't forget the square brackets and list your answers separated by commas.

Answer: [x0,x1,…,x4]=

b) Calculate the value ti of each of the terms of the Riemann sum on the left and list your answers starting from the left and going to the right. Give exact values. Don't forget the square brackets and list your answers separated by commas.
Answer: [t0,t1,…,t3]=

c) Calculate the value of the left Riemann sum. Give your answer with a precision of at least two decimal places.
Answer:

7
S
5
(x²-1)dx
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Transcribed Image Text:7 S 5 (x²-1)dx
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