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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) Proving the Properties of Definite IntegralsEx 35 Ex 36 Ex 37 Ex 38 Ex 39
    11) Studying Sequences Defined by IntegralsEx 40 Ex 41 Ex 42
E) Integration by Parts
    12) Evaluating Definite Integrals by PartsEx 43 Ex 44 Ex 45 Ex 46
    13) Applying Advanced Integration TechniquesEx 47
F) Integrals and Inequalities
    14) Determining the Sign of an IntegralEx 48 Ex 49 Ex 50 Ex 51
    15) Integrating InequalitiesEx 52 Ex 53
    16) Calculating and Interpreting Mean ValuesEx 54 Ex 55 Ex 56
G) Area Between Two Curves
    17) Calculating the Area Between Two CurvesEx 57 Ex 58
    18) Calculating the Area Enclosed Between Two CurvesEx 59 Ex 60 Ex 61