Consider the function f(x) = *+7. 4 In this problem you will calculate | + 7) dx by using the definition f(x) dx = lim |E f(x;)Ax n00 i=1 The summation inside the brackets is R, which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub- interval. Calculate R, for f(x) = * +7 on the interval [0, 4] and write your answer as a function of n without any summation signs. R, = lim R, = n-00

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the function f(x) = * +7.
4
x2
+7) dx by using the definition
3
In this problem you will calculate
9.
n
f(x) dx
= lim
2 f(x;)Ax
i=1
The summation inside the brackets is R, which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-
interval.
Calculate R, for f(x) = * +7 on the interval [0, 4] and write your answer as a function of n without any summation signs.
lim Rp
n→00
Transcribed Image Text:Consider the function f(x) = * +7. 4 x2 +7) dx by using the definition 3 In this problem you will calculate 9. n f(x) dx = lim 2 f(x;)Ax i=1 The summation inside the brackets is R, which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub- interval. Calculate R, for f(x) = * +7 on the interval [0, 4] and write your answer as a function of n without any summation signs. lim Rp n→00
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