Calculus 10th Edition

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

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.2 Exercises: 11

Answer

$\frac{x^{2}}{2} - 4\ln|x|$ + C

Work Step by Step

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