Various ways to calculate integrals and introduction to error bounds.

1. Approximate the area of the region bounded by the graph of the function and the
x-axis over the indicated interval. Calculate left- and right-hand sums for the
indicated number of subdivisions using the RSUM program. Compare your
estimate with the exact area of the region, found using known geometric
formulas.
How could we use the RSUM program to make even better estimates?

3. The Definite Integral

4. Find 3 different approximations of each integral, then deduce the
actual value of the integral ...

5. How many different ways can we approximate an integral?

6. Error Bounds for Monotone Functions
For the function ƒ below, find the number of intervals of equal length
needed so that an estimate of the integral differs from the actual
value by less than 0.02.