AP Calculus Unit 8 Review: Applications of Integration

Just like with derivatives, antiderivatives are a tool. Now that you have learned how to use the antiderivative tool, it is time to start applying that tool to “real world” situations.

Applications of Antiderivatives Flash Cards

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Identifier: Max-Min Inequality Rule for Definite Integrals

Method: Max-Min Inequality Rule for Definite Integrals

Example 1: Max-Min Inequality for Definite Integrals

Example 1: Max-Min Inequality for Definite Integrals (Video)

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Average Value Examples from Actual AP Exams

Identifier: Average Value

Method: Average Value

Example 1: Average Value Integral

Example 1: Average Value Integral (Video)

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Extension of Mean Value Theorem for Definite Integrals

Identifier: Mean Value Theorem for Definite Integrals

Method: Mean Value Theorem for Definite Integrals

Example 1: Mean Value Theorem for Definite Integrals

Example 1: Mean Value Theorem for Definite Integrals (Video)

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Integral as Accumulation Tool Examples from Actual AP Exams

Identifier: Integral as Accumulation Tool

Method: Integral as Accumulation Tool

Example 1: Integral as Accumulation Tool

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Integral Physics Examples From Actual AP Exams

Identifier: Physics Relationship

Method: Physics Relationships

Example 1: Physics Relationship

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Displacement vs. Total Distance Examples from Actual AP Exams

Identifier: Distance vs. Displacement

Method: Distance vs. Displacement

Example 1: Distance vs. Displacement

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Area Between Two Curves Examples from Actual AP Exams

Identifier: Area Between Two Curves

Method: Area Between Two Curves

Example 1: Area Between Two Curves (No Calculator Allowed)

Example 2: Area Between Two Curves (Calculator Allowed)

Example 3: In Terms of y (No Calculator Allowed)

Volumes of Solids

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Cross Sectional Area Examples from Actual AP Exams

Identifier: Cross Sectional Areas

Method: Cross Sectional Areas

Example 1: Cross Sectional Areas

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Disk Method Examples from Actual AP Exams

Identifier: Disk Method

Method: Disk Method

Example 1: About the x-axis

Example 2: About an axis other than the x-axis

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Washer Method Examples from Actual AP Exams

Identifier: Washer Method

Method: Washer Method

Example 1: Washer Method About the x-axis

Unit 8: Applications of Antiderivatives

Applications of Antiderivatives Flash Cards

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