Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Section 5.2

1. Explain how we start with a function, f (t), and use the area under the curve to get another function.
2. What's the area under the curve of f (t) = 2 between 0 and 3? Between 0 and 5? Between 0 and x?
3. Let f (t) = 2. Explain what is meant by A_f(6) and A_f(- 4).
4. How does A_f change if you change a?
5. What does the fundamental theorem of calculus say, in your own words?
6. In the margin on page 361, it says ``Two antiderivatives of the same f can differ only by a constant.'' Explain why.