A Level Maths Notes: C2 _ 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.
