Calculus AB Unit 7 - Applications of Integration

Unit 7: Applications of Integration

Unit 7 applies integration to a variety of important mathematical and real-world problems. Students use integrals to find areas between curves and volumes, calculate work, and determine the average value of a function. The unit also introduces exponential growth and decay, slope fields, and Euler’s Method, extending students’ understanding of integration into differential equations and models of change.

Lessons Included:

• Lesson 1: Area Between Curves
• Lesson 2: Volumes
• Lesson 3: Work
• Lesson 4: Average Value of a Function
• Lesson 5: Exponential Growth & Decay
• Lesson 6: Slope Fields & Euler's Method

Unit 7 includes 6 complete sections, 3 additional worksheets, a comprehensive review, and a unit exam, with answer keys included for all materials.