Supplementary Problems for Chapter 4 of Calculus by Hughes-Hallett, et. al.

These problems use the Fundamental Theorem of Calculus from chapter 3, section 4, and the formulas for derivatives in Chapter 4. Do 1-7 after section 4.2, 8-10 after section 4.3, 11-14 after section 4.6, and 15-26 after section 4.7.

For each problem

  1. Find the indicated integral correct to two decimal places by using left- and right-sums.
  2. Find the indicated integral by using the Fundamental Theorem of Calculus.

If those don't agree, correct something! If the indicated integral doesn't exist, demonstrate why not with a graph.


Last updated December 23, 1997. mparker@austincc.edu