The area bounded by `y=sec^-1 x,y=cosec^-1x,` and line `x-1=0` is (a) `log(3+2sqrt2)-pi/2` sq. units (b) `pi/2-log(3+2sqrt2)` sq. units (c) `pi-(log)_e 3` sq. units (d) non of these

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 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) non 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 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

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 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 bounded by the curve y=secx , the x-axis and the lines x=0 and x=pi/4 is (A) log(sqrt(2)+1) (B) log(sqrt(2)-1) (C) 1/2log2 (D) sqrt(2)

The area bounded by the curves y=sin^(-1)|sin x| and y=(sin^(-1)|sin x|^(2), where 0<=x<=2 pi is (1)/(3)+(pi^(2))/(4)sq. units (b) (1)/(6)+(pi^(3))/(8) sq.units 2 sq.units (d) none of these

The area (in sq. units) bounded by y = 2 - |x - 2| and the x-axis is

Area bounded by y =x ^(2) and line y =x is 1/4 sq unit.