CK12 Calculus - Single Variable

This relationis validas long as the two functionsare continuousand the upperfunction on
the interval

The AreaBetweenTwo Curves(With respectto the -axis)

If and are two continuousfunctionson the interval and for all valuesof in the

interval,then the area of the regionthat is boundedby the two functionsis givenby

Example 1 :

Find the area of the regionenclosedbetween and

Figure 2
Solution:
We first makea sketchof the region(Figure2) and find the end pointsof the region.To do so, we simply
equatethe two functions,