$\log (x)-\frac{1}{2} \log \left(x^2+1\right)+\mathrm{c}$, where c is the constant of integration.

$\frac{1}{2} \log (x)-\log \left(x^2+1\right)+\mathrm{c}$, where c is the constant of integration.

$\log (x)+\frac{1}{2} \log \left(x^2+1\right)+\mathrm{c}$, where c is the constant of integration.

$-\log (x)-\frac{1}{2} \log \left(x^2+1\right)+\mathrm{c}$, where c is the constant of integration.

$\left(\frac{x-3}{2}\right) \sqrt{x^2-6 x-16} +\frac{5}{2} \log \left(x-3+\sqrt{x^2-6 x-16}\right)+c$

where c is the constant of integration

$$ \begin{aligned} & \left(\frac{x-3}{2}\right) \sqrt{x^2-6 x-16} -\frac{25}{2} \log \left(x-3+\sqrt{x^2-6 x-16}\right)+c \end{aligned} $$

where c is the constant of integration

$\left(\frac{x-3}{2}\right) \sqrt{x^2-6 x-16}+\frac{25}{2} \log \left(x-3+\sqrt{x^2-6 x-16}\right)+c $

where c is the constant of integration

$$ \begin{aligned} \left(\frac{x-3}{2}\right) \sqrt{x^2-6 x-16} & -\frac{5}{2} \log \left(x-3+\sqrt{x^2-6 x-16}\right)+c \end{aligned} $$

where $c$ is the constant of integration

$\frac{(2+x)^2}{2} \log \left(\frac{2+x}{\sqrt{\mathrm{e}}}\right)+\mathrm{c}$, where c is the constant of integration

$\frac{(2+x)^2}{2} \log \left(\frac{2+x}{\mathrm{e}}\right)+\mathrm{c}$, where c is the constant of integration

$\frac{2+x}{2} \log \left(\frac{2+x}{\sqrt{\mathrm{e}}}\right)+\mathrm{c}$, where c is the constant of integration

$\frac{2+x}{2} \log (2+x) \sqrt{\mathrm{e}}+\mathrm{c}$, where c is the constant of integration

$4 \mathrm{e}^{\tan ^{-1} 2 x}+\mathrm{c}$, where c is the constant of integration

$\mathrm{e}^{\tan ^{-1} 2 x}+\mathrm{c}$, where c is the constant of integration

$\frac{\mathrm{e}^{\tan ^{-1} 2 x}}{2}+\mathrm{c}$, where c is the constant of integration

$2 \mathrm{e}^{\tan ^{-1} 2 x}+\mathrm{c}$, where c is the constant of integration