JEE Advance - Mathematics (1990 - No. 2)
Compute the area of the region bounded by the curves $$\,y = ex\,\ln x$$ and $$y = {{\ln x} \over {ex}}$$ where $$ln$$ $$e=1.$$
$$\frac{e^2 + 5}{4e}$$
$$\frac{e^2 - 5}{4e}$$
$$\frac{e^2 + 1}{2e}$$
$$\frac{e^2 - 1}{2e}$$
$$\frac{5 - e^2}{4e}$$