2. Let f be integrable on [a, b] and continuous at c E (a, b). Show that rc+h for f(x)da = f(c). c-h lim h→0+ 2h
2. Let f be integrable on [a, b] and continuous at c E (a, b). Show that rc+h for f(x)da = f(c). c-h lim h→0+ 2h
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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![2. Let f be integrable on [a, b] and continuous at c = (a, b). Show that
lim
h→0+ 2h
rc+h
feth f(x) dx = f(c).
c-h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb960331d-b9de-4e83-88c2-ccb399997c3d%2F16eb7bca-6876-46b4-852b-cb1126c78ae6%2F7qh8edi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let f be integrable on [a, b] and continuous at c = (a, b). Show that
lim
h→0+ 2h
rc+h
feth f(x) dx = f(c).
c-h
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