AP®︎ Calculus AB: Topic 6.8 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 6.8 of AP Calculus AB – Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation.

Questions List

Topic 6.8

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Question 1 Easy

∫(4x3−6x+2) dx=\displaystyle \int (4x^3 - 6x + 2)\,dx =

A12x2−6+C12x^2 - 6 + C
Bx4−3x2+Cx^4 - 3x^2 + C
C16x4−12x2+2x+C16x^4 - 12x^2 + 2x + C
Dx4−3x2+2x+Cx^4 - 3x^2 + 2x + C

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB 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 6.8: Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

Learning Objective: FUN-6.C

Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatives.

Essential Knowledge: FUN-6.C.1

∫ f(x) dx is an indefinite integral of the function f and can be expressed as ∫ f(x) dx = F(x) + C, where F'(x) = f(x) and C is any constant.

Essential Knowledge: FUN-6.C.2

Differentiation rules provide the foundation for finding antiderivatives.

Essential Knowledge: FUN-6.C.3

Many functions do not have closed-form antiderivatives.

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