📝 Functions Defined By Integrals

📖 From Calculus • 6. Integration • 21 questions available

Practice MCQs for Functions Defined By Integrals. 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 function \(F(x)\) defined by the integral \(F(x) = \int_a^x f(t) \, dt\) called?

🔹 A. A function defined by a differential equation

🔹 B. A function defined by an integral

🔹 C. A function defined by a limit

🔹 D. A function defined by a series

💡 Difficulty: easy | ✅ Correct: B

Q2. A dragster's velocity is \(v(t) = 3t + 2\) (m/s) from \(t = 0\) to \(t = 4\) s. Which integral gives the distance traveled?

🔹 A. \(\int_0^4 (3t + 2) \, dt\)

🔹 B. \(\int_0^4 (3t + 2)^2 \, dt\)

🔹 C. \(\int_0^4 (3t + 2) \, dt^2\)

🔹 D. \(\int_0^4 \sqrt{3t + 2} \, dt\)

💡 Difficulty: medium | ✅ Correct: A

Q3. Evaluate the limit \(\lim_{n \to \infty} \int_0^1 x^n \, dx\).

🔹 A. 0

🔹 B. 01-Feb

🔹 C. 1

🔹 D. Does not exist

💡 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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