Area bounded by the curve `f(x) ={log_e|x|,|x| >= 1/e |x|-1-1/e, |x|< 1/2` and x axis is

Area bounded by the curve y= log_(e)x, x=0, y le 0 and x-axis is:

Area bounded by the curves y=e^(x),y=log_(e)x and the lines x=0,y=0,y=1 is

The area bounded by the curve y=x(1-log_(e)x) and x-axis is

The area bounded by the curve y=x(1-log_(e)x) and x-axis is

The area bounded by the curve y=x(1-log_(e)x) and x-axis is

If y=f(x) is the solution of equation ydx+dy=-e^(x)y^(2) dy, f(0)=1 and area bounded by the curve y=f(x), y=e^(x) and x=1 is A, then

If y=f(x) is the solution of equation ydx+dy=-e^(x)y^(2) dy, f(0)=1 and area bounded by the curve y=f(x), y=e^(x) and x=1 is A, then

If y=f(x) is the solution of equation ydx+dy=-e^(x)y^(2) dy, f(0)=1 and area bounded by the curve y=f(x), y=e^(x) and x=1 is A, then

The area (in sq units) of the region bounded by the curves y = e^(x) , y = log_(e) x and lines x = 1, x = 2 is