The area between the curves `y = ln x and y = (ln x)^2` is

The cosine of the angle between the curves y=3^(x-1)ln x and y=x^(x)-1 at their point of intersection on the line y=0, is

Let theta be the acute angle between the curves y=x^(x)ln x and y=(2^(x)-2)/(ln2) at their point of intersection on the line y=0. The value of tan theta is equal to

The curve x = log y+ e and y = log (1/x)

Area bounded by y=ln x and y=(ln x)^(2) IS

Compute the area enclosed by the curves y = e^x and y = log_ex between the lines x= 1 and x= 2.

The area of the region enclosed by the curve y= log_e x and y= (log_e x )^2 is …….Sq. units

Obtain the area enclosed by region bounded by the curves y = x ln x and y = 2x-2x^(2) .

Find the area enclosed between the curves: y = log_e (x + e) , x = log_e (1/y) & the x-axis.