The floor function is defined as [æ] = max{m e Z|m < x}. Effectively, the floor function is the action of truncating the decimals off of a real number. (a) Evaluate Le) dr, where n is a positive integer. (b) Evaluate r] dr, where a and b are real numbers with 0
The floor function is defined as [æ] = max{m e Z|m < x}. Effectively, the floor function is the action of truncating the decimals off of a real number. (a) Evaluate Le) dr, where n is a positive integer. (b) Evaluate r] dr, where a and b are real numbers with 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 36E
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The floor function is defined as bxc = max{m ∈ Z | m ≤ x}. Effectively, the floor function is the action of truncating the decimals off of a real number.
(a) Evaluate
Z n
0
bxc dx ,
where n is a positive integer.
(b) Evaluate
Z b
a
bxc dx ,
where a and b are real numbers with 0 ≤ a < b
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