Determine the value of ∫0∞dx(x2+4)2\int_{0}^{\infty} \frac{dx}{(x^2+4)^2}∫0∞(x2+4)2dx.
π/32\pi/32π/32
π/64\pi/64π/64
π/16\pi/16π/16
π/8\pi/8π/8