📝 Average Value Of A Continuous Function

📖 From Calculus • 6. Integration • 20 questions available

Practice MCQs for Average Value Of A Continuous Function. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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📝 Sample Questions

Q1. What is the formula for the average value of a continuous function \(f\) on the interval \([a,b]\)?

🔹 A. \((b-a) \int_a^b f(x) \, dx\)

🔹 B. \(\frac{1}{b-a} \int_a^b f(x) \, dx\)

🔹 C. \(\int_a^b f(x) \, dx\)

🔹 D. \(\frac{\int_a^b f(x) \, dx}{(b-a)^2}\)

💡 Difficulty: easy | ✅ Correct: B

Q2. Find the average value of \(f(x) = x^2\) on the interval \([1,3]\).

🔹 A. 2

🔹 B. 13-Mar

🔹 C. 4

🔹 D. 5

💡 Difficulty: medium | ✅ Correct: B

Q3. If the average value of \(f\) on \([0,2]\) is 3 and the average value of \(f^2\) on the same interval is 11, what is the variance of \(f\)?

🔹 A. 1

🔹 B. 2

🔹 C. 3

🔹 D. 4

💡 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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