(Continuation of Exercise 31.) If ƒ is continuously differentiable on [0, a] for a > 0, and f(a) = f(0) = b, prove that r) dx = f(x) dx – 2ab + 12

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...
Question
(Continuation of Exercise 31.) If ƒ is continuously differentiable
on [0, a] for a > 0, and f(a) = f(0) = b, prove that
r) dx =
f(x) dx –
2ab +
12
Transcribed Image Text:(Continuation of Exercise 31.) If ƒ is continuously differentiable on [0, a] for a > 0, and f(a) = f(0) = b, prove that r) dx = f(x) dx – 2ab + 12
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