Interpreting Definite Integrals

Interpreting Definite Integrals

Grade 11 · Math · 45 min· 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

What's Included

Learning Objective

I can apply definite integrals to solve problems involving displacement, total distance, and accumulation of quantities.

Warm-Up Video

Unknown Channel · 5:00

Interpreting definite integral as net change | AP Calculus AB | Khan Academy

Practice Questions

7 questions · Short answer

Exit Ticket

Quick comprehension check

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?

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides