The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.


Problems

Compute the following double Riemann sums.

12_multiple_integrals-50.gif12_multiple_integrals-51.gif12_multiple_integrals-52.gif12_multiple_integrals-53.gif12_multiple_integrals-54.gif12_multiple_integrals-55.gif12_multiple_integrals-56.gif12_multiple_integrals-57.gif12_multiple_integrals-58.gif12_multiple_integrals-59.gif12_multiple_integrals-60.gif12_multiple_integrals-61.gif12_multiple_integrals-62.gif12_multiple_integrals-63.gif12_multiple_integrals-64.gif12_multiple_integrals-65.gif

17              Show that if D is a region with area A and c is constant, then ∫∫DcdA = cA.

18              Prove the Constant Rule:

12_multiple_integrals-66.gif

19              Prove the Sum Rule:

12_multiple_integrals-67.gif


Last Update: 2006-11-25