$\log (x)-\frac{1}{2} \log \left(x^2+1\right)+\mathrm{c}$, 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.

$x^2-y^2-10 x+6 y+16=0$

$x^2+y^2-10 x-6 y-16=0$

$x^2+y^2+10 x+6 y-16=0$

$x^2+y^2-5 x-2 y-7=0$

$\frac{8 \sqrt{2}+3}{5}$

$\frac{8 \sqrt{2}-3}{5}$

$\frac{8 \sqrt{2}+3}{15}$

$\frac{8 \sqrt{2}-3}{15}$

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

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