$\frac{(\sin x-\cos x) x-\sin x \cos x}{x \sin x \cos x}+C$

$-\frac{1}{x}+\frac{\sin x+\cos x}{\cos x-\sin x}+c$

$-\frac{1}{x}+\frac{\sin x-\cos x}{\sin ^2 x \cos ^2 x}+C$

$\frac{(\sin x-\cos x) x-\sin x-\cos x}{x(\sin x+\cos x)}+C$

$\frac{\left(x^2+1\right)^n}{x}+C$

$\frac{x}{\left(x^2+1\right)^n}+C$

$x\left(x^2+1\right)^{n-1}+C$

$\frac{x}{\left(x^2+1\right)^{n-1}}+C$

$\log \left(\frac{x^2+2}{\sqrt{x^2+1}}\right)+C$

$\log \left(x^2+2\right)-2 \log \left(x^2+1\right)+C$

$\log \left(\frac{\left(x^2+2\right) x}{\sqrt{x^2+1}}\right)+C$

$\log \left(\frac{x^2+1}{\sqrt{x^2+2}}\right)+C$

$\frac{\sqrt{7}}{3}$

$3 \sqrt{7}$

$\frac{3}{\sqrt{7}}$

$\frac{3}{7}$