Evaluate the integral ∫0∞dx(1+x2)3\int_{0}^{\infty} \frac{dx}{(1+x^2)^3}∫0∞(1+x2)3dx.
3π/163\pi/163π/16
5π/325\pi/325π/32
π/8\pi/8π/8
3π/83\pi/83π/8