# Happy Birthday Rajdeep!

Calculus Level 5

$\large \int_{-1/\sqrt{3}}^{1/\sqrt{3}} \dfrac{x^2(1-x^2)}{(e^x+1)(1+x^2)^4} \, dx$

If the above integral is equal to $$\dfrac{\sqrt{a}}{b}$$, where $$a$$ and $$b$$ are positive integers with $$a$$ square-free, find $$a+b$$.

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