Consider the function f(x) = * +7. x² In this problem you will calculate +7) dx by using the definition 3 f(x) dx = lim f(x;)Ax n-00 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. Hint: R, = lim R, = n-00 X; = 4i and Ax = .
Consider the function f(x) = * +7. x² In this problem you will calculate +7) dx by using the definition 3 f(x) dx = lim f(x;)Ax n-00 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. Hint: R, = lim R, = n-00 X; = 4i and Ax = .
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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Question
![Consider the function f(x) =
+7.
4
x2
In this problem you will calculate
(-
+ 7) dx by using the definition
3
n
f(x) dx = lim
f(x;)Ax
n→00
a
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) = * +
on the interval [0, 4] and write your answer as a function of n without any summation signs.
Hint:
R, =
lim Rn
4i
X; =
n
and Ax = .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa264b6a9-f8e9-4d20-9fee-fb410778815c%2F96731438-4fce-46b0-85ae-87b5e9709de1%2F1tahe5g_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f(x) =
+7.
4
x2
In this problem you will calculate
(-
+ 7) dx by using the definition
3
n
f(x) dx = lim
f(x;)Ax
n→00
a
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) = * +
on the interval [0, 4] and write your answer as a function of n without any summation signs.
Hint:
R, =
lim Rn
4i
X; =
n
and Ax = .
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