Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 5: Integrals - Section 5.3 - The Definite Integral - Exercises 5.3 - Page 276: 55

Answer

0

Work Step by Step

$av(f)=(\frac{1}{\sqrt{3}-0})\int^{\sqrt{3}}_{0}(x^2-1)dx$ =$\frac{1}{\sqrt{3}}\int^{\sqrt{}3}_{0}x^2dx-\frac{1}{\sqrt{3}}\int^{\sqrt{3}}_{0}1dx$ =$\frac{1}{\sqrt{3}}(\frac{(\sqrt{3}^3)}{3})-\frac{1}{\sqrt{3}}(\sqrt{3}-0)=1-1=0$
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