Finding the Area Between the Axes and a Curve That Crosses the Axes
The graph above shows the curve
To find the shaded area it is not enough to integrate between
and
The area between
and
which is below the axis, will make the whole answer negative. Since the area is always positive our approach to the question will be this:
Split the area into two areas.
will be that part of the graph for which
and
will be that part of the graph for which
For each area we apply the formula
Forthe top will be the curve
and the bottom will be the
– axis, and forthese will swap over.
