(c)1Evaluate the Riemann integral (X)tionPn= {1,²i=1n+1 n+2n' n","Hint: (1) Each (sub)interval is given by[n+i-1nndx by using definition with the parti-2n-1=-¹,2},n1≤ i ≤n.nEN.(2) Use the formulaeΣ(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 byf(x) =0,x2x=0,x = 0.

Given Data: Let the function f:R→R be defined by fx=-1x2x≠0,0x=0To evaluate the Riemann integral…

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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Question

(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.

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