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 firstname.lastname@example.org .
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 sumsMason Cullen
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 ?
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.Denton Davolt