7.2.9 Additivity Theorem Let f := [a,b] → R and let ce (a, b). Then f E R[a, b] if and only if its restrictions to [a, c] and [c, b] are both Riemann integrable. In this case (6) f + f. %3D

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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prove this theorem?
7.2.9 Additivity Theorem Let f:= [a,b] → R and let ce (a, b). Then f E Rla, b] if
and only if its restrictions to [a, c] and [c, b] are both Riemann integrable. In this case
9.
(6)
f +
f.
%3D
Transcribed Image Text:7.2.9 Additivity Theorem Let f:= [a,b] → R and let ce (a, b). Then f E Rla, b] if and only if its restrictions to [a, c] and [c, b] are both Riemann integrable. In this case 9. (6) f + f. %3D
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