Question

Then find the area S of the region. y=2 x^2, y^2=1/2 x

Answer 1

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