Evaluate the given expression.
\( \int \frac{\sqrt{81-(\log x)^2}}{x} d x \)
1
\(\frac{x}{2} \sqrt{81-(\log x)^2}+\frac{81}{2} \sin ^{-1}\left(\frac{x}{9}\right)+C\)
2
\(\frac{x}{2} \sqrt{81-(x)^2}+\frac{81}{2} \sin ^{-1}\left(\frac{x}{9}\right)+C\)
3
\(\frac{\log x}{2} \sqrt{81-(\log x)^2}+\frac{81}{2} \sin ^{-1}\left(\frac{\log x}{9}\right)+C\)
4
\(\frac{\log x}{2} \sqrt{81-(x)^2}+\frac{9}{2} \sin ^{-1}\left(\frac{\log x}{9}\right)+C\)