Question

Find the area enclosed by the given curves:
(a) y=2x-x^2 , y=2x-4
(b) y=x , y=x^2

Answer 1

Have you plotted anything out yet? That is the first thing I would do, in order to see if one line was above the other line over the interval between where they intersect.

Answer 2

Here is a plot of the first one:

Answer 3

I think you have to solve 2x-x²=2x-4 first. This will give you the x-coordinates of the intersection points (A and B in my drawing).
The you have to evaluate an integral...