Evaluate ∫0∞1x4+1dx\int_0^{\infty} \frac{1}{x^4+1} dx∫0∞x4+11dx.
π22\frac{\pi}{2\sqrt{2}}22π
π2\frac{\pi}{\sqrt{2}}2π
π4\frac{\pi}{4}4π
π2\pi\sqrt{2}π2