Area bounded by `y={x}` is fractional part of function and `x=+-1` is in sq.units

If the area bounded by y=3x^(2)-4x+k , the X-axis and x=1, x=3 is 20 sq. units, then the value of k is

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

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=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

If the area bounded by y=x, y=sinx and x=(pi)/(2) is ((pi^(2))/(k)-1) sq. units then the value of k is equal to

The area of the region bounded by the straight lines x=2y, x=3y and x=6 , is (A) 3 sq.units (B) 4 sq.units (C) 2 sq.units (D) 1 sq.unit

The area of the region bounded by the curves y=x^(3), y=(1)/(x), x=2 and x - axis (in sq. units) is

The area of the plane region bounded by the curve x = y^(2)-2 and the line y = - x is (in sq units)

What is the area of the region bounded by the line 3x-5y = 15 . x =1, x = 3 and x-axis in sq units ?