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
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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f4edce-3df2-42bf-9fa8-58dcd89039a8%2Fefbf9cf5-9c76-4227-b43a-5c3fcfc03c91%2F9f3qvhw_processed.jpeg&w=3840&q=75)
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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