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

$\dfrac{(x + \log x)^2}{x} + c$, where c is the constant of integration

$\dfrac{(x + \log x)^3}{3} + c$, where c is the constant of integration

$\dfrac{(x + \log x)^3}{3x} + c$, where c is the constant of integration

$\dfrac{\cot^3 x}{3} - \cot x + x + c$

$\dfrac{\cot^3 x}{3} + \cot x + x + c$

$-\dfrac{\cot^3 x}{3} + \cot x + x + c$

$\dfrac{\cot^3 x}{3} - 2\cot x + x + c$

$\log(\cos x) + \cos x + c$, where c is the constant of integration

$\log(\sin x) - \sin x + c$, where c is the constant of integration

$\log(\sin x) + \sin x + c$, where c is the constant of integration

$\log(\cos x) - \cos x + c$, where c is the constant of integration

$-\left(\dfrac{\sqrt{2}}{3}\tan^{-1}\dfrac{x}{\sqrt{2}} + \dfrac{\sqrt{5}}{3}\tan^{-1}\dfrac{x}{\sqrt{5}}\right) + c$, where c is the constant of integration

$\left(\dfrac{\sqrt{2}}{3}\tan^{-1}\dfrac{x}{\sqrt{2}} + \dfrac{\sqrt{5}}{3}\tan^{-1}\dfrac{x}{\sqrt{5}}\right) + c$, where c is the constant of integration

$\dfrac{\sqrt{2}}{3}\tan^{-1}\left(\dfrac{x}{\sqrt{2}}\right) - \dfrac{\sqrt{5}}{3}\tan^{-1}\left(\dfrac{x}{\sqrt{5}}\right) + c$, where c is the constant of integration

$-\dfrac{\sqrt{2}}{3}\tan^{-1}\left(\dfrac{x}{\sqrt{2}}\right) + \dfrac{\sqrt{5}}{3}\tan^{-1}\left(\dfrac{x}{\sqrt{5}}\right) + c$, where c is the constant of integration