Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.1 Exercises: 22

Answer

$= x + \frac{3}{x} - \frac{5}{3x^{3}} + C$

Work Step by Step

$\int (\frac{x^{4}-3x^{2}+5}{x^{4}})dx$ $\int (\frac{x^{4}}{x^{4}} - \frac{3x^{2}}{x^{4}} + \frac{5}{x^{4}}) dx$ $\int (1 - \frac{3}{x^{2}} + 5x^{-4}) dx$ $\int (1 - 3x^{-2} + 5x^{-4}) dx$ $= x - \frac{3x^{-1}}{-1} + \frac{5x^{-3}}{-3} + C$ $= x + 3x^{-1} - \frac{5x^{-3}}{3} + C$ $= x + \frac{3}{x} - \frac{5}{3x^{3}} + C$
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