Consider the function f(x) = - In this problem you will calculate +4. 0 Show hint x² 3 +4) dx by using the definition [ f(x) f(x) dx = limf(x). [ƒ(2₁)42] i=1 n→∞ The summation inside the brackets is R₁, which is the Riemann sum where the sample points are chosen to be the right- hand endpoints of each sub-interval. Calculate R₁ for f(x) = - +4 on the interval [0, 4] and write your answer as a function of n without any summation signs.
Consider the function f(x) = - In this problem you will calculate +4. 0 Show hint x² 3 +4) dx by using the definition [ f(x) f(x) dx = limf(x). [ƒ(2₁)42] i=1 n→∞ The summation inside the brackets is R₁, which is the Riemann sum where the sample points are chosen to be the right- hand endpoints of each sub-interval. Calculate R₁ for f(x) = - +4 on the interval [0, 4] and write your answer as a function of n without any summation signs.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the function f(x)
In this problem you will calculate
Show hint
Rn 16
=
lim Rn
n→∞
=
=
−²+ +4.
The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-
hand endpoints of each sub-interval.
16
4 x²
L--3
Calculate R₁, for f(x) = −²+4 on the interval [0, 4] and write your answer as a function of n without any summation
Rn
3
signs.
+4) dx by using the definition
·b
[ f(x) dx = lim
n→∞
n
f(x₁) Ax](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2225a944-df22-4b7d-83fa-578c45dad04f%2Fddf21707-1fc3-4376-8a21-c4bd766137e9%2Fgsw5dqm_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x)
In this problem you will calculate
Show hint
Rn 16
=
lim Rn
n→∞
=
=
−²+ +4.
The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-
hand endpoints of each sub-interval.
16
4 x²
L--3
Calculate R₁, for f(x) = −²+4 on the interval [0, 4] and write your answer as a function of n without any summation
Rn
3
signs.
+4) dx by using the definition
·b
[ f(x) dx = lim
n→∞
n
f(x₁) Ax
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