Area enclosed by the curve `(y-sin^(- 1)x)^2=x-x^2`, is (A) `pi/2` sq.units (B) `pi/4` sq.units (C) `pi/8` sq.units (D) none of these

The area bounded by the curves y=x^(2) and y=(2)/((1+x^(2))) is (pi-(2)/(3)) sq.unit (B)(pi+(2)/(3)) sq.unit (C) (pi+(4)/(3)) sq.unit (D) none of these

Area bounded by the curve xy^(2)=a^(2)(a-x) and the y-axis is (pi a^(2))/(2) sq.units (b) pi a^(2)sq. units is 3 pi a^(2)sq. units (d) None of these

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 curves y=sqrt(x),2y+3=x , and x-axis in the 1st quadrant is (A) 18 sq. units (B) (27)/4 sq.units (C) 4/3 sq.units (D) 9 sq. units

The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1st quadrant is (A) 18 sq. units (B) (27)/4 sq.units (C) 4/3 sq.units (D) 9 sq. units

The area bounded by the curves y=sqrt(x),2y+3=x, and x -axis in the 1 st quadrant is (A) 18 sq.units (B) (27)/(4) sq.units (C) (4)/(3) sq.units (D) 9 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 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 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 of the closed figure bounded by x=-1,y=0,y=x^2+x+1, and the tangent to the curve y=x^2+x+1 at A(1,3) is (a) 4/3 sq. units (b) 7/3 sq. units (c) 7/6 sq. units (d) none of these