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 - 5.5 Exercises - Page 363: 74

Answer

$\frac{x^5}{5}+\frac{5^x}{\ln 5}+C$

Work Step by Step

Let $\log x$ denote the natural logarithm $\ln x$. $\int (x^4+5^x)dx$ $=\int x^4dx+\int5^xdx$ $=\frac{x^5}{5}+\frac{5^x}{\log 5}+C$
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