
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
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