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Let 0< a < B be real numbers. Let m 2 2 be a natural number and let 0 < c1 < C2 < •..< Cm <1 be m points in the interval (0, 1). Define a function f on [0, 1] by f(x) = B if x = ck for some k = 1,2, ..., m and f(x): = a if x + Ck for all k = 1,2, .... m. Prove that f is integrable on [0, 1] and state the value of f(x) dx.

Let 0< a < B be real numbers. Let m 2 2 be a natural number and let 0 < c1 < C2 < •..< Cm <1 be m points in the interval (0, 1). Define a function f on [0, 1] by f(x) = B if x = ck for some k = 1,2, ..., m and f(x): = a if x + Ck for all k = 1,2, .... m. Prove that f is integrable on [0, 1] and state the value of f(x) dx.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Let 0< a < B be real numbers. Let m > 2 be a natural number and let 0 < c1 < c2 < •..< Cm <1 be m points in the interval (0, 1). Define a function f on [0, 1] by f(x) = B if x = ck for some k = 1,2, ..., m and f(x): = a if x + Ck for all k = 1,2, .... m. Prove that f is integrable on [0, 1] and state the value of f(x) dæ.
Transcribed Image Text:Let 0< a < B be real numbers. Let m > 2 be a natural number and let 0 < c1 < c2 < •..< Cm <1 be m points in the interval (0, 1). Define a function f on [0, 1] by f(x) = B if x = ck for some k = 1,2, ..., m and f(x): = a if x + Ck for all k = 1,2, .... m. Prove that f is integrable on [0, 1] and state the value of f(x) dæ.
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