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} $
Calculus, 10th Edition (Anton)
by Anton, Howard
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 - Page 320: 6
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