AP®︎ Calculus BC: Topic 6.2 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.2 of AP Calculus BC – Approximating Areas with Riemann Sums.
Questions List
Topic 6.2
Question 1 Easy
Water is pumped into a tank at a continuous rate of gallons per minute, where is measured in minutes. Selected values of are given in the table.
| (minutes) | 0 | 2 | 4 | 6 |
|---|---|---|---|---|
| (gallons per minute) | 3 | 5 | 6 | 8 |
Using a right Riemann sum with the subintervals indicated by the table, which of the following approximates ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus BC Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 6.2: Approximating Areas with Riemann Sums
Learning Objective: LIM-5.A
Approximate a definite integral using geometric and numerical methods.
Essential Knowledge: LIM-5.A.1
Definite integrals can be approximated for functions that are represented graphically, numerically, analytically, and verbally.
Essential Knowledge: LIM-5.A.2
Definite integrals can be approximated using a left Riemann sum, a right Riemann sum, a midpoint Riemann sum, or a trapezoidal sum; approximations can be computed using either uniform or nonuniform partitions.
Essential Knowledge: LIM-5.A.3
Definite integrals can be approximated using numerical methods, with or without technology.
Essential Knowledge: LIM-5.A.4
Depending on the behavior of a function, it may be possible to determine whether an approximation for a definite integral is an underestimate or overestimate for the value of the definite integral.
