Question

Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the curve x = 2*sqrt(y), above left by the curve x = (y-1)^2, and above right by the line x = 3-y.

Answer 1

Here's a sketch of the region:

which I hope is right. I'm only doubting a little because we don't need the detail abot being bonded on the left by the y-axis.