The area bounded by the curves `y=log_e x ` and `y=(log_e x)^2` is (A) `e-2` sq. units (B) `3-e` sq. units (C) `e` sq. units (D) `e-1` sq. units

The area bounded by the curve y=log_ex , the x-axis and the line x=e is (A) e sq. units (B) 1 sq. unit (C) (1-1/e) sq. units (D) (1+1/e) sq. units

The area bounded by the curves y=x^(3)-x and y=x^(2)+x is (In sq, units)

The area of the region enclosed by the curves y=x, x=e, y=1/x and the positive x-axis is (A) 3/2 sq. units (B) 5/2 sq. units (C) 1/2 sq. units (D) 1 sq. units

The area bounded by the curve y=x^3 , x-axis and two ordinates x=1 and x=2 is equal to (A) 15/2 sq. units (B) 15/4 sq. units (C) 17/2 sq. units (D) 17/4 sq. units

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units

The area bounded by the parabola y=(x+1)^2 and y=(x-1)^2 and the line y=1/4 is (A) 4 sq. units (B) 1/6 sq. units (C) 3/4 sq. units (D) 1/3 sq. units

Area of the region bounded by the curve y^2=4x , y-axis and the line y=3 is (A) 2 sq. units (B) 9/4 sq. units (C) 6sqrt(3) sq. units (D) none of these

" The area bounded by the curve "y=x(x-3)^(2)" and "y=x" is (in sq.units "

The area bounded by the curves y=|x|-1 and y=-|x|+1 is 1 sq.units (b) 2 sq.units 2sqrt(2) sq.units (d)4 sq.units