📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 23 questions available
Practice MCQs for Arc Length. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.
🔄 Last updated: 2026-07-16
Q1. Find the length of the curve \(y=x^{2}\) on the interval \([0,1]\).
💡 Difficulty: easy | ✅ Correct: A
Q2. A road is modeled by \(y=0.1x^{2}\) (with \(x\) in kilometers). Find the road length from \(x=0\) to \(x=5\) km.
💡 Difficulty: medium | ✅ Correct: B
Q3. Determine the length of the polar curve \(r=e^{\theta}\) from \(\theta=0\) to \(\theta=\ln 2\).
💡 Difficulty: hard | ✅ Correct: C
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