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

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

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

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

$\frac{8}{5}$

$\frac{16}{5}$

$\frac{3}{5}$

$\frac{19}{5}$

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

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

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

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

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

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

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

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