1  The area of the region bounded by a curve and a line
In this subsection, we will find the area of the region bounded by a line and a circle,
a line and a parabola, a line and an ellipse Equations of above mentioned curves will be
in their standard forms only as the cases in other forms go beyond the scope of this
textbook Example 3 Find the area of the region bounded
by the curve y = x2 and the line y = 4 Solution Since the given curve represented by
the equation y = x2 is a parabola symmetrical
about y-axis only, therefore, from Fig 8