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Integrals

Learning tasks
                
Lesson
Text book
Exercises Correction
A) Approximating Area with Riemann Sums
    1) Estimating Area with Left and Right SumsEx 1 Ex 2 Ex 3
B) Definition of the Definite Integral
    2) Identifying the Definite Integral for a Given AreaEx 4 Ex 5 Ex 6 Ex 7
    3) Interpreting the Sign of a Definite IntegralEx 8 Ex 9 Ex 10 Ex 11
    4) Evaluating Integrals using Geometric FormulasEx 12 Ex 13 Ex 14 Ex 15
C) Properties of the Definite Integral
    5) Applying the Properties of Definite IntegralsEx 16 Ex 17 Ex 18 Ex 19 Ex 20
D) Fundamental Theorem of Calculus
    6) Calculating Area using the Fundamental TheoremEx 21 Ex 22 Ex 23
    7) Evaluating Definite Integrals: Level 1Ex 24 Ex 25 Ex 26 Ex 27
    8) Evaluating Definite Integrals: Level 2Ex 28 Ex 29 Ex 30 Ex 31
    9) Defining Functions using Definite IntegralsEx 32 Ex 33 Ex 34
    10) Studying Sequences Defined by IntegralsEx 35 Ex 36 Ex 37
E) Integrals and Inequalities
    11) Determining the Sign of an IntegralEx 38 Ex 39 Ex 40 Ex 41
    12) Integrating InequalitiesEx 42 Ex 43
    13) Calculating and Interpreting Mean ValuesEx 44 Ex 45 Ex 46
F) Area Between Two Curves
    14) Calculating the Area Between Two CurvesEx 47 Ex 48
    15) Calculating the Area Enclosed Between Two CurvesEx 49 Ex 50 Ex 51