This document provides feedback on Quiz 5 about the definite integral. It includes questions to find the area of shaded regions bounded by graphs, solving definite integrals using techniques like the Fundamental Theorem of Calculus, and true/false questions testing understanding of concepts like how definite integrals relate to area and the relationship between position, velocity, and derivatives.

1. Quiz 5 Feedback.

2. The Definite Integral.
Opener.
Find the area of the shaded regions.

3. Find the area of the shaded region.

6. Find the area of the shaded region.

7. Exercises.
Solve the following definite integrals.

8. Opener.
Find the area of the region bounded by the x-axis and f(x) = sin x, from
x = 0 and x = 2π.

9. Exercises.
Solve the following definite integrals.

10. True or False:
a) is equal to the area above the x-axis bounded by the graph of f(x)
from x = a to x = b minus the area below the x-axis.
b) The antiderivative of f(x) is .
c) .
d) If the position of an object is given by f(t), then the velocity is .

11. Exercises.
Use the Fundamental Theorem of Calculus to solve the integrals: