Consider the area shown below. The height of the triangle is 5
and the length of its base is 3. We have used the notation Dh
for \Delta h .

Write a Riemann sum for the area, using the strip shown and the
variable

Riemann sum

Now write the integral that gives this area:

area

where

and

Finally, calculate the exact area of the region, using your integral.

area =

You can earn partial credit on this problem.