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πŸ“ Area Between Y=F(X) And Y=G(X)

πŸ“– From Calculus β€’ 7. Applications of the Definite Integral In Geometry, Science, and Engineering β€’ 21 questions available

Practice MCQs for Area Between Y=F(X) And Y=G(X). Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

πŸ”„ Last updated: 2026-07-16

7
Easy Questions
8
Medium Questions
6
Hard Questions

πŸ“ Sample Questions

Q1. Find the area between the curves \(y = x\) and \(y = 0\) on the interval \([0,3]\).

πŸ”Ή A. 4.5
πŸ”Ή B. 9
πŸ”Ή C. 3
πŸ”Ή D. 6

πŸ’‘ Difficulty: easy | βœ… Correct: A

Q2. A reservoir cross‑section is bounded by \(y=4 - x^{2}\) and the x‑axis from \(x=-2\) to \(x=2\). Find the area.

πŸ”Ή A. 10.67
πŸ”Ή B. 12
πŸ”Ή C. 8
πŸ”Ή D. 14

πŸ’‘ Difficulty: medium | βœ… Correct: A

Q3. A cable hangs in the shape \(y = a\cosh(x/a)\). Find the area between the cable and the ground from \(x=-a\) to \(x=a\).

πŸ”Ή A. a^{2}\sinh(1)
πŸ”Ή B. 2a\sinh(1)
πŸ”Ή C. 2a^{2}\sinh(1)
πŸ”Ή D. a\sinh(1)

πŸ’‘ Difficulty: hard | βœ… Correct: C

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πŸ”— Related Topics

πŸ“ Approximating RootsπŸ“ Areas and LimitsπŸ“ Continuity in ApplicationsπŸ“ Continuity of CompositionsπŸ“ Continuity of Inverse Functions
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