Suppose that f is continuous on [a, b], that f(x) > 0 for all x [a,

Question:

Suppose that f is continuous on [a, b], that f(x) > 0 for all x ∈ [a, b] and that ∫ba f = 0. Prove that f(x) = 0 for all x ∈ [a, b].
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

Question Posted: