Integrating the square of the derivative If f is continuously differentiable on [0, 1] and f(1) = f(0) = –1/6, prove that | f'* dx = 2/ flx) dx + 4*

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Integrating the square of the derivative
If f is continuously
differentiable on [0, 1] and f(1)
= f(0) = –1/6, prove that
| f'* dx = 2/
flx) dx +
4*
Transcribed Image Text:Integrating the square of the derivative If f is continuously differentiable on [0, 1] and f(1) = f(0) = –1/6, prove that | f'* dx = 2/ flx) dx + 4*
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