The area (in sq. units) of the region bounded by the parabola, y = x² + 2 and the lines, y = x + 1, x = 0 and x = 3, is

The area (in sq. units) in the first quadrant bounded by the parabola, y = x² + 1, the tangent to it at the point (2, 5) and the coordinate axes is :

The area (in sq. units) of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is :

If the area enclosed between the curves y = kx² and x = ky², (k > 0), is 1 square unit. Then k is -