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📝 The Fundamental Theorem Of Calculus

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for The Fundamental Theorem Of Calculus. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

7
Easy Questions
10
Medium Questions
6
Hard Questions

📝 Sample Questions

Q1. What does the Fundamental Theorem of Calculus (Part 1) state about a function defined by an integral?

🔹 A. It gives the antiderivative of any continuous function.
🔹 B. It relates the derivative of an integral function to the original integrand.
🔹 C. It provides the exact area under a curve without integration.
🔹 D. It shows that all continuous functions are differentiable.

💡 Difficulty: easy | ✅ Correct: B

Q2. A particle's velocity is \(v(t) = t^2 - 4t + 3\) (m/s). What is its net displacement from \(t = 1\) s to \(t = 4\) s?

🔹 A. 3
🔹 B. 5
🔹 C. 7
🔹 D. 0

💡 Difficulty: medium | ✅ Correct: C

Q3. In the proof of the Fundamental Theorem of Calculus (Part 1), which theorem guarantees the existence of the limit that defines the derivative?

🔹 A. Intermediate Value Theorem
🔹 B. Mean Value Theorem for integrals
🔹 C. Extreme Value Theorem
🔹 D. Bolzano‑Weierstrass Theorem

💡 Difficulty: hard | ✅ Correct: B

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🔗 Related Topics

📝 Approximating Roots📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions
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