Indefinite Integration

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

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

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

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