c) Let g be a decreasing continuous function on [0,1], assuming the values g(0) = 1 and g(1) = 0. Show that there is a partition P of [0,1] such that the following inequalities apply to the lower and the upper Riemann sum. 0 < L(g, P) < U(g, P) < 1 d) Use c) to show the inequalities x)dx < 1 (You can use that a continuous function on [0,1] is integrable)
c) Let g be a decreasing continuous function on [0,1], assuming the values g(0) = 1 and g(1) = 0. Show that there is a partition P of [0,1] such that the following inequalities apply to the lower and the upper Riemann sum. 0 < L(g, P) < U(g, P) < 1 d) Use c) to show the inequalities x)dx < 1 (You can use that a continuous function on [0,1] is integrable)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 64E
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