AP®︎ Calculus BC: Topic 6.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.5 of AP Calculus BC – Interpreting the Behavior of Accumulation Functions Involving Area.


Questions List

Topic 6.5

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15

Question 1 Easy

Figure

The graph of the continuous function ff, defined on 0≤x≤60\leq x\leq 6, consists of two line segments.

Let g(x)=∫3xf(t) dtg(x)=\int_3^x f(t)\,dt. What is g(3)g(3)?

A−1-1
B00
C22
D132\frac{13}{2}

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 6.5: Interpreting the Behavior of Accumulation Functions Involving Area

Learning Objective: FUN-5.A

Represent accumulation functions using definite integrals.

Essential Knowledge: FUN-5.A.3

Graphical, numerical, analytical, and verbal representations of a function f provide information about the function g defined as g(x) = ∫_a^x f(t) dt.