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Evaluate the Riemann integral f'(x) dx by using definition with the tion = {₁,"+11/ n Pn= i=1 n+1 n+2 n n Hint: (1) Each (sub)interval is given by n+i-1 " n 2n-1 " n ¹,2}, 1≤ i ≤n. nEN. (2) Use the formulae Σ(n+i-1)³ = n²(15n² - 14n+3), 2(n+i)³ = n²(15n² + 14n+3). i=1

Evaluate the Riemann integral f'(x) dx by using definition with the tion = {₁,"+11/ n Pn= i=1 n+1 n+2 n n Hint: (1) Each (sub)interval is given by n+i-1 " n 2n-1 " n ¹,2}, 1≤ i ≤n. nEN. (2) Use the formulae Σ(n+i-1)³ = n²(15n² - 14n+3), 2(n+i)³ = n²(15n² + 14n+3). i=1

Advanced Engineering Mathematics
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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(c) 1 Evaluate the Riemann integral (X) tion Pn = {1,² i=1 n+1 n+2 n' n "," Hint: (1) Each (sub)interval is given by [n+i-1 n n dx by using definition with the parti- 2n-1 =-¹,2}, n 1≤ i ≤n. nEN. (2) Use the formulae Σ(n+i-1)³ = n²(15n² − 14n+3), Σ(n+i)³ = n²(15m² +14n+3). i=1
Transcribed Image Text:(c) 1 Evaluate the Riemann integral (X) tion Pn = {1,² i=1 n+1 n+2 n' n "," Hint: (1) Each (sub)interval is given by [n+i-1 n n dx by using definition with the parti- 2n-1 =-¹,2}, n 1≤ i ≤n. nEN. (2) Use the formulae Σ(n+i-1)³ = n²(15n² − 14n+3), Σ(n+i)³ = n²(15m² +14n+3). i=1
Let the function f: R → R be defined by f(x) = 0, x2 x=0, x = 0.
Transcribed Image Text:Let the function f: R → R be defined by f(x) = 0, x2 x=0, x = 0.
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