Section 5.3.
Read the entire section. Pay particular
attention to the fundamental theorem of calculus (FTC) on page
393. Answer the following questions. Send an
e-mail with subject line **MA251** to selliott@utm.edu .

1) Finish the sentence: [Newton and Leibniz] saw that the Fundamental Theorem enabled them to compute . . . .

1) To compute areas
easily without having to compute them as
limits of sums

2) Use the fundamental theorem of calculus part 1 (and maybe
Example 2) to answer this question: What is

d/dx [Integral from 0
to x] t^3 dt ?

x^3

Deonte Johnson

3) Finish this sentence about FTC part 2. It's very
surprising that [a definite integral], which was defined by a
complicated procedure involving all of the values of f(x) for
[an interval], can be found by . . . .

**knowing the values of F(x) at only two
points, a and b.**