# I can! Can you? (2)

Calculus Level 5

If

$\int_0^{\infty}\frac{1}{2x^4+x^2+1}dx=\pi\sqrt{\frac{1}{a\sqrt{b}}-\frac{1}{c}}$

where $$b$$ is square-free, what is the value of $$a+b+c?$$