Let f(x) = x defined on [0, 1]. Show that f is integrable over [0, 1] and S; zdx = ī = xpx ° Use the partition Pn of [0, 1] by 2 0 1 2 Pn= {0=7'n'n = 1 }, for any n€ N п п п-1 nп п п п

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let f(x) = x defined on [0, 1]. Show that f is integrable over [0, 1] and
1
S xdx =
2
Use the partition Pn of [0, 1] by
0 1 2
п-1 п
Pn= {0 =
1}, for any n E N
n'n'n
п п
Transcribed Image Text:Let f(x) = x defined on [0, 1]. Show that f is integrable over [0, 1] and 1 S xdx = 2 Use the partition Pn of [0, 1] by 0 1 2 п-1 п Pn= {0 = 1}, for any n E N n'n'n п п
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