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: 5

Answer

$A=\dfrac{65}{4} $

Work Step by Step

$f(x) = x^3$ $ [2,3] $ $A =\int_2^3 x^3 dx $ $A = [\frac{x^4}{4}]^3_2 $ $A = [(\frac{3^4}{4})-(\frac{2^4}{4})] $ $A = [\frac{81}{4} - \frac{16}{4}] $ $A = \dfrac{65}{4} $
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