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$\int\left\{\frac{x}{a}+\frac{b}{x}+x^a+b^x+a b\right\} d x$ is equal to
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Verified Answer
The correct answer is:
$\frac{x^2}{2 a}+b \log |x|+\frac{x^{a+1}}{a+1}+\frac{b^x}{\log b}+a b x+C$
$$
\begin{aligned}
& \int\left(\frac{x}{a}+b x^{-1}+x^a+b^x+a b\right) d x \\
& =\frac{1}{a} \cdot \frac{x^2}{2}+b \log x+\frac{x^{a+1}}{a+1}+b^x \log b+a b x+C
\end{aligned}
$$
\begin{aligned}
& \int\left(\frac{x}{a}+b x^{-1}+x^a+b^x+a b\right) d x \\
& =\frac{1}{a} \cdot \frac{x^2}{2}+b \log x+\frac{x^{a+1}}{a+1}+b^x \log b+a b x+C
\end{aligned}
$$
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