MORE INTEGRALS

There is an almost limitless supply of increasingly complex integrals associated with different applications.  Depending on your interests, certain  topics and integrals in this chapter may be very interesting to you while others may be completely uninteresting.

 If you are looking for help with a particular integral or a particular application, you may want to survey the sections to find those problems and discussions that fit your interest.  The problems are concentrated on four topics: volumes, arc lengths, surface areas,  and non-standard integrals that occur often in real-world problems.  This latter area is often called techniques of integration, the name suggesting the study of integration techniques that work for a number of different problems.  Most texts and extensive integral tables are organized around various categories of integrals.  Within space limitations, we have attempted to pick those integrals and applications that will help the largest number of people.