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AP Calculus AB Cha 4 D Interpret the Meaning of a Definite Integral in Accumulation Problems Questions

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

AP Calculus AB Cha 4 D Interpret the Meaning of a Definite Integral in Accumulation Problems Questions 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\int_{4}^{10} f(t) d t 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.

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