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Curriculum Guide

Advanced Placement Calculus Page 21

The Definite Integral

Concept

LO 3.2A(a)

EK 3.2A1

EK 3.2A3

Interpret the definite

integral as a limit of a

Riemann sum.

A Riemann sum, which

requires a partition of an

interval I, is the sum of

products, each of which is

the value of the function at

a point in a subinterval

multiplied by the length of

that subinterval of the

partition.

The information in a

definite integral can be

translated into the limit of a

related Riemann sum, and

the

limit of a Riemann sum can

be written as a definite

integral.

Larson/Hostetler Calculus

8 th

4.2, 4.3

Ed.

7