Solution Found!
If av(ƒ) really is a typical value of the integrable
Chapter 5, Problem 81E(choose chapter or problem)
If av(ƒ) really is a typical value of the integrable function ƒ(x) on [a, b], then the constant function av(ƒ) should have the same integral over [a, b] as ƒ. Does it? That is, does
\(\int_{a}^{b} a v(f) d x=\int_{a}^{b} f(x) d x ?\)
Give reasons for your answer.
Equation Transcription:
Text Transcription:
integral _a ^b av(f) dx=integral _a ^b f(x) dx?
Questions & Answers
QUESTION:
If av(ƒ) really is a typical value of the integrable function ƒ(x) on [a, b], then the constant function av(ƒ) should have the same integral over [a, b] as ƒ. Does it? That is, does
\(\int_{a}^{b} a v(f) d x=\int_{a}^{b} f(x) d x ?\)
Give reasons for your answer.
Equation Transcription:
Text Transcription:
integral _a ^b av(f) dx=integral _a ^b f(x) dx?
ANSWER:Solution
Step 1 of 2
We have to verify whether