Step 3 of 4 The approximate Riemann sum of f(x) = x³ - 9x on [0, 7] using n rectangles with right endpoints X; widths. n Σ f(x)Ax = [ f(²1) ² n i=1 i=1 Using f(x) = x³ - 9x, find f(7i/n). (7) SºF ostly clear 7i 3 Write 72 Step 4 of 4 Thus we have the definite integral is approximately ΣπερΔΥ - Σ1(3), = i = 1 i = 1 Submit 91 = Σ(75 - 6977 n = 1 This approximation will become better, and even exact, as n increases without bound √₁²(x³ - 9x) 7i n L'(x³. (x³ - 9x) dx as the limit of a Riemann sum with intervals of equal width and right endpoints as sample points. - 9x) dx = limf(x)Ax = 1 = lim 310 343;³ 63i 773 = 1 n Skip (you cannot come back) with corresponc Search

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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Step 3 of 4
The approximate Riemann sum of f(x) = x5 – 9x on [0, 7] using n rectangles with right endpoints x, with corresponc
widths.
5°F
ostly clear
z
ΣΔΥΣ (7)
=
Using f(x) = x3 – 9x, find f(7i/n).
Ti 3
(7)
Write
pantan
Step 4 of 4
Thus we have the definite integral is approximately
ΣΠΥΡΔΧ - Σ (7)
fcx
(70)3
ΕΝΤ
-
Σ
ΣΤΗ
n
This approximation will become better, and even exact, as n increases without bound v
(1
7
S
o (x3 - 9x) dx as the limit of a Riemann sum with Intervals of equal width and right endpoints as sample
points,
αν
=
(χώ - 9x) dx = lim
n-A
man
ΤΗ
ΠΙΣΤΟ
7=1
3437³ 63i
n3
Σ
Submit Skip (you cannot come back)
f(x) AX
-
Search
@ma
19
Transcribed Image Text:Step 3 of 4 The approximate Riemann sum of f(x) = x5 – 9x on [0, 7] using n rectangles with right endpoints x, with corresponc widths. 5°F ostly clear z ΣΔΥΣ (7) = Using f(x) = x3 – 9x, find f(7i/n). Ti 3 (7) Write pantan Step 4 of 4 Thus we have the definite integral is approximately ΣΠΥΡΔΧ - Σ (7) fcx (70)3 ΕΝΤ - Σ ΣΤΗ n This approximation will become better, and even exact, as n increases without bound v (1 7 S o (x3 - 9x) dx as the limit of a Riemann sum with Intervals of equal width and right endpoints as sample points, αν = (χώ - 9x) dx = lim n-A man ΤΗ ΠΙΣΤΟ 7=1 3437³ 63i n3 Σ Submit Skip (you cannot come back) f(x) AX - Search @ma 19
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