What is the area under f(x) = x² from x = 0 to x = 3?

A 3

B 9

C 27

D 27/3 = 9

✓ Correct Answer: Option B

∫₀³ x² dx = [x³/3]₀³ = 27/3 - 0 = 9.

💡 Why is B) the correct answer?

The correct answer to the question "What is the area under f(x) = x² from x = 0 to x = 3?" is Option B: 9.

The other options — A) 3, C) 27, D) 27/3 = 9 — are incorrect for this AP Exam Prep question. As explained above: ∫₀³ x² dx = [x³/3]₀³ = 27/3 - 0 = 9.

📚 About This AP Exam Prep Practice Question

This 2-level AP Exam Prep question from the AP Calculus topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free AP Exam Prep practice test or use flashcards for spaced repetition review.

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What is the area under f(x) = x² from x = 0 to x = 3?

✓ Correct Answer: Option B

📚 About This AP Exam Prep Practice Question

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