AP Calculus

Special Focus: The Fundamental
Theorem of Calculus
y=1.5
When x = 0, the upper and lower limits of integration are the same.
1. What is f 0
( 0) ? _________________________
When x = 1, notice that you are finding the area of a rectangle with a base 1 unit long
and a height of 1.5.
2. What is f 0
( 1) ? _________________________
When x = 2, you are finding the area of a rectangle with a base 2 units long and a height
of 1.5.
3. What is f 0
( 2) ? _________________________
4. Complete the table of values below.
x f0 ( x ) = ∫ 1.
5 dt
0
0
1
2
3
x
AP® Calculus: 2006–2007 Workshop Materials 17