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📝 The Indefinite Integral

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for The Indefinite Integral. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

7
Easy Questions
8
Medium Questions
8
Hard Questions

📝 Sample Questions

Q1. What is the indefinite integral of \(f(x) = 3x^2\)?

🔹 A. \(x^3 + C\)
🔹 B. \(\frac{x^3}{3} + C\)
🔹 C. \(\frac{x^3}{2} + C\)
🔹 D. \(3x^3 + C\)

💡 Difficulty: easy | ✅ Correct: A

Q2. A dragster moves with velocity \(v(t) = 4t + 2\) m/s from \(t = 0\) to \(t = 3\) s. What distance does it travel?

🔹 A. 24 m
🔹 B. 30 m
🔹 C. 18 m
🔹 D. 12 m

💡 Difficulty: medium | ✅ Correct: A

Q3. A curve is defined by \(y = \int_0^x (t^3 - 3t) \, dt\). At which \(x\)-coordinate does the tangent become horizontal?

🔹 A. \(-\sqrt{3}\)
🔹 B. \(0\)
🔹 C. \(\sqrt{3}\)
🔹 D. \(2\)

💡 Difficulty: hard | ✅ Correct: C

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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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