$a\theta\tan^2\theta - a\tan\theta - a\theta + c$  $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta - a\tan\theta + a\theta + c$  $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta + a\tan\theta - a\theta + c$  $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$a\theta\tan^2\theta + a\tan\theta + a\theta + c$  $\left(\text{where } \theta = \tan^{-1}\left(\sqrt{\dfrac{x}{a}}\right)\right)$ and c is the constant of integration

$p = \dfrac{\sqrt{2}}{5}, q = \dfrac{1}{5}$

$p = \dfrac{\sqrt{2}}{3}, q = 3$

$p = \dfrac{\sqrt{2}}{5}, q = 5$

$p = \dfrac{2}{\sqrt{5}}, q = \sqrt{5}$

$\dfrac{1}{2}, \dfrac{\pi}{2}$

$\dfrac{1}{2}, \dfrac{\pi}{4}$

$\dfrac{x}{2}, \dfrac{\pi}{4}$

$1, \dfrac{\pi}{2}$

$2\sqrt{x-2} - 2\sqrt{2}\tan^{-1}\left(\dfrac{\sqrt{x-2}}{\sqrt{2}}\right) + c$

$2\sqrt{x-2} + 2\sqrt{2}\tan^{-1}\left(\dfrac{\sqrt{x-2}}{\sqrt{2}}\right) + c$

$2\sqrt{x-2} - 2\sqrt{2}\tan^{-1}\left(\dfrac{\sqrt{x-2}}{2}\right) + c$

$2\sqrt{x-2} + 2\sqrt{2}\tan^{-1}\left(\dfrac{\sqrt{x-2}}{2}\right) + c$