Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.6 The Fundamental Theorem Of Calculus - Exercises Set 4.6: 6

Answer

$A= \dfrac{2}{5} $

Work Step by Step

$f(x) = x^4$ $ [-1,1] $ $A =\int_{-1}^1 x^4 dx $ $A = [\frac{x^5}{5}]^1_{-1} $ $A = [(\frac{1^5}{5})-(\frac{(-1)^5}{5})] $ $A = [\frac{1}{5} - (-\frac{1}{5})] $ $A = \dfrac{2}{5} $
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