1. Area a b x y
When the portion of the graph of y = f(x) is below the x-axis between x = a and x = b then the value of will be negative.

2. Area Entrapped between two curves

3. Example
Find the finite area enclosed between the graph of
and

4. Example
Find the points of intersection for the graphs of and
Hence find the finite area enclosed between the graph of and

5. The graph drawn above is of the line and the curve
Example y x
The graph drawn above is of the line and the curve
Find the points of intersection for the graphs and
Hence find the finite area enclosed between the graph of and
for x > 0.