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Sine Antiderivative

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Integration by Parts

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Natural Log Antiderivative

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Tan Antiderivative

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General Power Rule Antiderivative

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First Fund. Theorem

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The Exponential Antiderivative

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Avg. Value of a Function

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Arctan Antiderivative

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2nd Fundamental Theorem

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Example: Power Rule Antiderivative

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Example: Power Rule Antiderivative

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Sin (x) Antiderivative

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sec (x) tan (x) Antiderivative

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sec^2 (x) Antiderivative

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2nd Fund. Theorem

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Exponential Antiderivative

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Exponential Antiderivative

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Cos (x) Antiderivative

Chapter 6, 7, 8 & 9 Videos – Integral Calculus2018-01-01T17:03:35+00:00

Chapter 6, 7, 8 & 9 Videos – Integral Calculus – Updated 12-26-2017

The table below contains links to video tutorials from Khan Academy, Just Math Tutorials (aka PatrickJMT.com) and Krista King’s YouTube Channel (also kristakingmath.com).
 

Chapter 6 - The Definite Integral    
6.2 Riemann SumsRiemann 1Riemann 2Rectangle and Trapezoidal Approx.Trapezoidal Approx.
6.2 Definite IntegralsRiemann and DefiniteDefinite 1Definite and AreaDefinite Integrals
6.3 Definite Integrals and AntiderivativesAnti-Deriv 1Anti-Deriv 2Anti-Deriv 3Anti-Deriv 4
6.3 Definite Integrals and AntiderivativesAnti-DerivDefinite Int.Definite and AreaDefinite
6.3 Definite Integrals and AntiderivativesDefinite
6.4 Fund. Theorem of CalculusFund Thm Ex 1Fund Thm Ex 2Fund Thm Ex 3Fund Thm Ex 4
6.4 Fund. Theorem of CalculusFund Thm Ex 5Fund Thm Ex 6Fund Thm Ex 7
 
Chapter 7 - Applications of the Definite Integral    
7.1 Euler's MethodEx 1Ex 2Ex 3Ex 4
7.1 Slope FieldsEx 1Ex 2Ex 4
7.1 Indefinite IntegrationEx 1Ex 2Ex 3Ex 4
7.1 Indefinite IntegrationEx 5
7.2 Antidifferentiation by SubstitutionEx 1Ex 2Ex 4Ex 4
7.2 Antidifferentiation by SubstitutionEx 5Ex 6Ex 7Ex 8
7.3 Antidifferentiation by PartsEx 1Ex 2Ex 3Ex 4
7.4 Separable Differentiable EquationsEx 1Ex 2Ex 3Ex 4
7.4 Exponential Growth and DecayEx 1Ex 2Ex 3Ex 4
7.5 Logistic Growth Ex 1Ex 2Ex 3Ex 4
 
Chapter 8 Applications of Definite Integrals    
8.1 Integral as Net Change
8.2 Areas in the PlaneEx 1Ex 2Ex 3Ex 4Ex 5
8.3 Volumes: Solids of RevolutionEx 1Ex 2Ex 3Ex 4 y-axisEx 5 y-axis
8.3 Volumes: cross-sectionsEx 1Ex 2Ex 3Ex 4
8.4 Lengths of CurvesEx 1Ex 2Ex 3Ex 4Ex 5
8.5 Applications - WorkSpringSpring CableLiquidLiquid
 
Chapter 9: Sequences, L'Hopital's Rule and Improper Integrals    
9.1 SequencesEx 1Ex 2Ex 3Ex 4Try These
9.2 L'Hopital's RuleEx 1Ex 2 Ex 3Ex 4Ex 5
9.3 Relative Rates of Growth
9.4 Improper IntegralsEx 1Ex 2Ex 3Ex 4Ex 5