Using the Gamma function property Γ(z+1)=zΓ(z)\Gamma(z+1) = z\Gamma(z)Γ(z+1)=zΓ(z), evaluate the integral I=∫0∞x3e−2xdxI = \int_0^\infty x^3 e^{-2x} dxI=∫0∞x3e−2xdx.
38\frac{3}{8}83
12\frac{1}{2}21
666
34\frac{3}{4}43