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) EvaluateZ n0bxc dx ,where n is a positive integer.(b) EvaluateZ babxc dx ,where a and b are real numbers with 0 ≤ a < b The floor function is defined as [æ] = max{m e Z|m < x}. Effectively, the floor function is the action oftruncating the decimals off of a real number.(a) EvaluateLe) dr,where n is a positive integer.(b) Evaluater] dr,where a and b are real numbers with 0

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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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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

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 <a < b

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