Answer
$\int(x^{5}+5^{x})dx=\frac{x^{6}}{6}+\frac{5^{x}}{ln5}+c$
Work Step by Step
Evaluate the integral $\int(x^{5}+5^{x})dx$
$\int x^{5}dx+\int 5^{x}dx$
Hence, $\int(x^{5}+5^{x})dx=\frac{x^{6}}{6}+\frac{5^{x}}{ln5}+c$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.4* General Logarithmic and Exponential Functions - 6.4* Exercise - Page 464: 46
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