Then find the area S of the region.

y=2 x^2, y^2=1/2 x

Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves

y = f (x) and y = g (x)

such that

f (x) > g (x)

then the area between them bounded by the horizontal lines x = a and x = b is

To remember this formula we write