Antiderivative-Integral Applications

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.

Unit 8: Applications of Antiderivatives Flash Cards

Click Here for PDF

Course Content

Lesson Content

0% Complete 0/3 Steps

Identifier: Max-Min Inequality Rule for Definite Integrals

Method: Max-Min Inequality Rule for Definite Integrals

Example 1: Max-Min Inequality for Definite Integrals

Lesson Content

0% Complete 0/4 Steps

Average Value Examples from Actual AP Exams

Identifier: Average Value

Method: Average Value

Example 1: Average Value Integral

Lesson Content

0% Complete 0/4 Steps

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

Lesson Content

0% Complete 0/4 Steps

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

Lesson Content

0% Complete 0/4 Steps

Integral Physics Examples From Actual AP Exams

Identifier: Physics Relationship

Method: Physics Relationships

Example 1: Physics Relationship

Lesson Content

0% Complete 0/4 Steps

Displacement vs. Total Distance Examples from Actual AP Exams

Identifier: Distance vs. Displacement

Method: Distance vs. Displacement

Example 1: Distance vs. Displacement

Lesson Content

0% Complete 0/6 Steps

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

Lesson Content

0% Complete 0/4 Steps

Cross Sectional Area Examples from Actual AP Exams

Identifier: Cross Sectional Areas

Method: Cross Sectional Areas

Example 1: Cross Sectional Areas

Lesson Content

0% Complete 0/5 Steps

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

Lesson Content

0% Complete 0/4 Steps

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

Unit 8: Applications of Antiderivatives Flash Cards

Course Content

Get started now, and learn how straightforward AP Calculus can really be.

APCalcPrep.com