what is a smart way to find $\int \frac{\arctan\left(x\right)}{x^{2}}\,{\rm d}x$ I tried integration by parts, which gets very lengthy due to partial fractions.
Is there an alternative

Put $\tan^{ -1}x = y$ 
Then it becomes $\tan y$ = $x$. 
Then differentiate w.r.t $y$ then $dx = \sec^2y dy$.
Then finally,
$$I = \int y \csc^2 y dy$$ 
Then finally apply integration by parts. It will be little easier than directly applying Integration by parts.
