Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral - 5.4 Activities - Page 364: 12

Answer

$5x^{5}+\dfrac {3}{2}x^{4}-10x+c$

Work Step by Step

$\int \left( 25x^{4}+6x^{3}-10\right) dx=\dfrac {25}{4+1}\times x^{4+1}+\dfrac {6}{3+1}x^{3+1}-10x+c=5x^{5}+\dfrac {3}{2}x^{4}-10x+c$
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