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STANDARD 3.4D1

Areas of certain regions in the plane can be calculated with definite integrals.  (BC) Areas bounded by polar curves can be calculated with definite integrals.

WORKSHEETS

Practice-Using Definite Integrals to Calculate Area 1a
MC, under curve

8 PDF

Practice-Using Definite Integrals to Calculate Area 1b
open ended, under curve

10 PDF

Practice-Using Definite Integrals to Calculate Area 2a
MC, between curves, bounded

8 PDF

Practice-Using Definite Integrals to Calculate Area 2b
open ended, between curves, bounded

10 PDF
Practice-Using Definite Integrals to Calculate Area 3a
MC, between curves, unbounded or intersecting
8 PDF
Practice-Using Definite Integrals to Calculate Area 3b
open ended, between curves, unbounded or intersecting
10 PDF
 

To access Practice Worksheets aligned to the College Board's AP Calculus Curriculum Framework, click on the Essential Knowledge Standard below.  To see the text of an EKS, hover your pointer over the Standard.
LIMITS 1.1A1 1.1A2 1.1A3 1.1C2 1.1C3 1.2A2 1.2A3            
DERIVATIVES 2.1A1 2.1A2 2.1A3 2.1C1 2.1C2 2.1C3 2.1C4 2.1C5 2.1C6 2.1D1 2.2A1 2.2A2 2.2A3
2.3A2 2.3B1 2.3B2 2.3C1 2.3C2 2.3C3 2.3F1 2.4A1          
INTEGRALS 3.2A1 3.2B2 3.3B1 3.3B2 3.3B3 3.3B5 3.4B1 3.4C1 3.4D1 3.4D2 3.5A1 3.5A2 3.5A3
SERIES 4.1A2                        
COMPLETE JMAP FOR CALCULUS

 

 

 
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