\(\rm \displaystyle \int\frac{\sqrt{x^2+1}[\log(x^2+1)-2\log x]}{x^4}dx\) is equal to:
1
\(\rm \frac{1}{9}\left(\frac{x^2+1}{x^2} \right)^{\frac{3}{2}}. \left[2-3\log\left(\frac{x^2+1}{x^2} \right) \right]+C\)
2
\(\rm \frac{1}{3}\left(\frac{x^2+1}{x^2} \right)^{\frac{3}{2}}. \left[2-\log\left(\frac{x^2+1}{x^2} \right) \right]+C\)
3
\(\rm \frac{1}{9}\left(\frac{x^2+1}{x^2} \right)^{\frac{3}{2}}. \left[3\log\left(\frac{x^2+1}{x^2} \right)-2 \right]+C\)
4
\(\rm \frac{1}{9}\left(\frac{x^2+1}{x^2} \right)^{\frac{3}{2}}. \left[2+3\log\left(\frac{x^2+1}{x^2} \right) \right]+C\)