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Curriculum Guide

Advanced Placement Calculus Page 27

Applications of Integrals

II

LO 3.4A

EK 3.4A1

EK 3.4A2

LO 3.4B

EK 3.4B1

Interpret the meaning of a

definite integral within a

word problem.

A function defined as an

integral represents an

accumulation of a rate of

change.

The definite integral of the

rate of change of a

quantity over an interval

gives the net change of that

quantity over that interval.

Apply definite

integrals to problems

involving the average

value of a function.

The average value of a

function f over an interval

[풂,풃] 풊풔 (^) 풃−풂ퟏ ∫ 풂^ 풃풇(풙)풅풙.
Larson/Hostetler Calculus
8 th
7.1, 7.2, 7.3
Ed.
15