Question

Find the area of the region bounded by the curve y = 4x² , Y-axis and the lines y = 1, y = 4.

Answer 1

By symmetry of the parabola, the required area is 2 times the area of the region ABCD. From the equation of the parabola, x² = y/4

In the first quadrant, x > 0

∴ x = 1/2 \(\sqrt{y}\)