# A calculus problem by Akshat Sharda

Calculus Level 3

$\int^{1}_{0} \dfrac{x\tan^{-1}x}{(1+x^2)^{3/2}} \mathrm{d} x$

If the answer to the above problem is $$\dfrac{1}{\sqrt{n}}-\dfrac{\pi}{4\sqrt{2}}$$, then find the value of $$n$$.

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