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📝 Derivative And Integral Formulas

📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 22 questions available

Practice MCQs for Derivative And Integral Formulas. 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. A constant force of 10 N pushes an object along a straight line for 5 m. What is the work done?

🔹 A. 50 J

🔹 B. 10 J

🔹 C. 5 J

🔹 D. 0 J

💡 Difficulty: easy | ✅ Correct: A

Q2. What is \(\frac{d}{dx}\Bigl(\int_{x}^{2x}e^{t^{2}}dt\Bigr)\)?

🔹 A. \(2e^{4x^{2}}-e^{x^{2}}\)

🔹 B. \(e^{4x^{2}}-e^{x^{2}}\)

🔹 C. \(2e^{4x^{2}}+e^{x^{2}}\)

🔹 D. \(e^{x^{2}}\)

💡 Difficulty: medium | ✅ Correct: D

Q3. A rectangular plate 2 m wide and 3 m tall is submerged in water. Its top edge is 5 m below the surface. What is the total hydrostatic force on the plate?

🔹 A. \(3.822\times10^{5}\) N

🔹 B. \(1.962\times10^{5}\) N

🔹 C. \(5.880\times10^{5}\) N

🔹 D. \(2.450\times10^{5}\) N

💡 Difficulty: hard | ✅ Correct: A

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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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