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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