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📝 Areas and Limits

📖 From Calculus • 2. Limits and Continuity an Introduction • 62 questions available

Practice MCQs for Areas and Limits. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

18
Easy Questions
18
Medium Questions
26
Hard Questions

📝 Sample Questions

Q1. The exact area under \(f(x)=x\) on \([0,1]\) is:

🔹 A. \(0\)
🔹 B. \(\frac{1}{2}\)
🔹 C. \(1\)
🔹 D. \(2\)

💡 Difficulty: easy | ✅ Correct: B

Q2. What is the area under \(f(x)=x^2\) on \([0,2]\) using the antiderivative?

🔹 A. \(\frac{4}{3}\)
🔹 B. \(\frac{8}{3}\)
🔹 C. \(\frac{16}{3}\)
🔹 D. \(\frac{2}{3}\)

💡 Difficulty: medium | ✅ Correct: B

Q3. What is the area under \(f(x)=\ln x\) on \([1,e]\)?

🔹 A. \(1\)
🔹 B. \(e\)
🔹 C. \(e-1\)
🔹 D. \(\ln e\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions📝 Continuity of Trigonometric Functions
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