AP Calculus AB 8.3 Accumulation Functions Question Bank
Practise accumulation-function questions by connecting a changing rate to an integral and interpreting the resulting function.
- Syllabus
- Effective Fall 2025
- Course
- AP Calculus AB
Exam points
- interpret an accumulation function as an integral of a rate
- use the Fundamental Theorem to differentiate or evaluate an accumulation function
CHA-4.D—Interpret the meaning of a definite integral in accumulation problems question 1
[Maximum number: 1]
A function f(t) gives the rate of evaporation of water, in liters per hour, from a pond, where t is measured in hours since 12 noon. Which of the following gives the meaning of ∫410f(t)dt in the context described?
A
The total volume of water, in liters, that evaporated from the pond during the first 10 hours after 12 noon
B
The total volume of water, in liters, that evaporated from the pond between 4 P.M. and 10 P.M.
C
The net change in the rate of evaporation, in liters per hour, from the pond between 4 P.M. and 10 P.M.
D
The average rate of evaporation, in liters per hour, from the pond between 4 P.M. and 10 P.M.
E
The average rate of change in the rate of evaporation, in liters per hour per hour, from the pond between 4 P.M. and 10 P.M.
B
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