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 - 5.5 Activities - Page 373: 4

Answer

$8.17x^4+1.9x^2-15x+C$

Work Step by Step

$\int(32.68x^3+3.8x-15)dx=\int(32.68x^3)dx+\int(3.8x)dx-\int(15)dx=\frac{32.68x^{(3+1)}}{3+1}+\frac{3.8x^{(1+1)}}{1+1}-\frac{15x^{0+1}}{0+1}+C=8.17x^4+1.9x^2-15x+C$
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