Approximate the definite integral, -1 0 by the Riemann sums L2 and R4, where f(x) = 1 2 3 (a) L₂= 2, R₁ = 6 (b) L2=-2, R₁ = 10 (c) L₂= 0, R₁ = 4 (d) L2= 2, R₁ = 4 (e) L2=0, R₁ = 6 [ 2 f(x) dx, The graph of y = f(x) is given below for your information. Remember L2 is the Riemann sum with 2 rectangles and left end points and R₁ is the Riemann sum with 4 rectangles and right end points. 0 if -1 ≤ x<0 if 0 < x < 1 if 1 < x < 2 if 2 ≤ x <3 if 3 < x < 4 ANSWER:
Approximate the definite integral, -1 0 by the Riemann sums L2 and R4, where f(x) = 1 2 3 (a) L₂= 2, R₁ = 6 (b) L2=-2, R₁ = 10 (c) L₂= 0, R₁ = 4 (d) L2= 2, R₁ = 4 (e) L2=0, R₁ = 6 [ 2 f(x) dx, The graph of y = f(x) is given below for your information. Remember L2 is the Riemann sum with 2 rectangles and left end points and R₁ is the Riemann sum with 4 rectangles and right end points. 0 if -1 ≤ x<0 if 0 < x < 1 if 1 < x < 2 if 2 ≤ x <3 if 3 < x < 4 ANSWER:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Kk155.
Transcribed Image Text:Approximate the definite integral,
if - 1<x<0
if 0 < x < 1
if 1 < x < 2
if 2 < x < 3
if 3 < x < 4
The graph of y = f(x) is given below for your information. Remember L₂ is the Riemann sum with
2 rectangles and left end points and R₁ is the Riemann sum with 4 rectangles and right end points.
ANSWER:
(a) L₂= 2, R₁ = 6
(b) L2 = -2, R₁ = 10
(c) L₂= 0, R₁ = 4
(d) L2= 2, R₁ = 4
(e) L₂= 0, R₁ = 6
-1
0
by the Riemann sums L2 and R4, where f(x) = { 1
2
3
3
[
2
f(x) dx,
0
e
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