The area enclosed by the parabola \(y^2=4\pi x\) and the line \(y=ex\) is

\(\frac{8}{3}\) \(\frac{8}{3}\pi^{2}e^{3}\) \(\frac{8\pi^{2}}{3e^{3}}\) None of the above

\(\frac{8\pi^{2}}{3e^{3}}\)

Use integration