The area bounded by the parabola `y=x^(2)+x+1,` its tangent at P(1, 3), line `x=-1` and the x - axis is A sq units. Then, the value of 6A is equal to

The area bounded by the curve y=x^(2)+2x+1, the tangent at (1,4) and the y-axis is

Find the area bounded by the parabola x^(2) = y and line y = 1 .

The area (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is

Find the area bounded by the parabola x^(2) = y , x-axis and the line y = 1

The area of the region bounded by the curve y=x^(3), its tangent at (1,1) and x -axis is

Area bounded by the parabola 3y=x^(2) , the X-axis and the lines x = 2, x = 3 is

The area bounded by the parabola 4y=3x^(2) , the line 2y=3x+12 and the y - axis is

If Delta be the area in square units of the region bounded by the parabola y=-x^2-2x+3 , the line tangent to it at the point P(2,-5) and the y-axis, then 3Delta is equal to…