21 1- -4 -3 -1 n00 In this problem, we aim to evaluate the definite integral (x2 + 2 x) dx by its definition. To do so, we will compute the limit lim f(x;)Aæ. We will use n equal subintervals and right endpoints in our Riemann Sum. b-a (a) The subinterval length is Ax = n (b) The i-th endpoint is æ; = (c) The general term in the Riemann Sum is f(x;)A¤ = n-(n +1) 2 n-(n+ 1)-(2-n+1) (d) Now, using "-1c= n-c, Liį = 1 -1 +2 x) dæ = lim )f(x;)A¤ -3 and then taking the limit as n→0, find the exact value of n00 i=1 Activate W

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Li=1C=n-C, Lj =1
2-
1.
-3
-1
-1
n
f(x;)Ax. We wil
i=1
In this problem, we aim to evaluate the definite integral (x2 +2 x) dx by its definition. To do so, we will compute the limit lim
use n equal subintervals and right endpoints in our Riemann Sum.
b-a
(a) The subinterval length is Ax =
(b) The i-th endpoint is x; =
(c) The general term in the Riemann Sum is f(x;)Ax =
п-(п + 1)
n-(n+ 1)-(2-n +1)
(d) Now, using En
2
6
-1
n
and then taking the limit as n→0, find the exact value of f (x2 +2 x) dx = lim f(x;)Ar
n00E1
-3
Activate Windows
Transcribed Image Text:Li=1C=n-C, Lj =1 2- 1. -3 -1 -1 n f(x;)Ax. We wil i=1 In this problem, we aim to evaluate the definite integral (x2 +2 x) dx by its definition. To do so, we will compute the limit lim use n equal subintervals and right endpoints in our Riemann Sum. b-a (a) The subinterval length is Ax = (b) The i-th endpoint is x; = (c) The general term in the Riemann Sum is f(x;)Ax = п-(п + 1) n-(n+ 1)-(2-n +1) (d) Now, using En 2 6 -1 n and then taking the limit as n→0, find the exact value of f (x2 +2 x) dx = lim f(x;)Ar n00E1 -3 Activate Windows
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