Interpreting Definite Integrals
aligned to Ap Central 8.2 Connecting Position, Velocity, And Acceleration Of Functions Using Integration Ap Central 8.3 Using Accumulation Functions And Definite Integrals In Applied Contexts
Learning Objective
I can apply definite integrals to solve problems involving displacement, total distance, and accumulation of quantities.
Lesson Flow
Watch Video
Interpreting definite integral as net change | AP Calculus AB | Khan Academy
Unknown Channel
Practice
7 questions • Short answer
Exit Ticket
“The rate at which water is pumped into a tank is given by R(t) liters per minute, where t is measured in minutes. What does the integral ∫₃⁶ R(t) dt = 18 mean? The rate at which people enter an amusement park is given by E(t) people per hour, where t is measured in hours. What does the integral ∫₁₄ E(t) dt = 250 mean? The rate at which a tree grows is given by G(t) centimeters per year, where t is measured in years. What does the integral ∫₅₈ G(t) dt = 30 mean?”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
