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Curriculum Guide

Honors Calculus I
Page 25

Applications of Integrals

LO 3.4D

EK 3.4D1

EK 3.4D 2

Apply definite integrals to

problems involving area and

volume.

Areas of certain regions in

the plane can be calculated

with definite integrals.

Volumes of solids with

known cross sections,

including discs and washers,

can be calculated with

definite integrals.

Area (with respect to either

axis)

Area Between a curve and an

axis

Area Between two curves

Volumes of solids of

revolution (with respect to

either axis)

Disc method

Shell method

Volumes of solids

with known cross-sections

(with respect to either axis)

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