Evaluate ∫0∞dxx4+x2+1\int_0^{\infty} \frac{dx}{x^4+x^2+1}∫0∞x4+x2+1dx.
π23\frac{\pi}{2\sqrt{3}}23π
π4\frac{\pi}{4}4π
π3\frac{\pi}{3}3π
π2\frac{\pi}{\sqrt{2}}2π