Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.3 The Indefinite Integral - Exercises - Page 252: 17


$\int(z^{-\frac{4}{5}} -z^\frac{2}{3}+z^\frac{5}{4}dz= 5z^{\frac{1}{5}} -\frac{3}{5}z^{\frac{5}{3}}+\frac{4}{9}z^{\frac{9}{4}} +C$

Work Step by Step

$\int(z^{-\frac{4}{5}} -z^\frac{2}{3}+z^\frac{5}{4}dz= \frac{1}{\frac{1}{5}}z^{\frac{1}{5}}-\frac{1}{\frac{5}{3}}z^{\frac{5}{3}}+\frac{1}{\frac{9}{4}}z^{\frac{9}{4}}+C = 5z^{\frac{1}{5}} -\frac{3}{5}z^{\frac{5}{3}}+\frac{4}{9}z^{\frac{9}{4}} +C$
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