Section 4.9.  Section 4.9 introduces antiderivatives, preparing us to understand the fundamental theorem of calculus.  Pay particular attention to Theorem 1 and Table 2.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 4.9 to selliott@utm.edu .

1) What is a particular antiderivative of the function (sec x)^2 ?

tan x

2) What is the difference between a particular antiderivative and a general antiderivative?  

A general antiderivative has an arbitrary constant.  A particular antiderivative results from choosing a particular value for this constant. 

3) How many different antiderivatives of (sec x)^2 are there?

Infinitely many