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Unit 8: Applications of Integration

Arc Length of a Smooth, Planar Curve and Distance Traveled

Find the length of a curve y = f(x) or x = g(y) with an integral, know when it needs a calculator, and use it for the distance an object travels along a path.

Topic 8.13 · 7 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01From a polygon to an integral
  2. 02Most arc lengths need a calculator
  3. 03When to integrate in y
  4. 04Arc length as distance traveled
  5. 05Worked examples
  6. 06Where students lose points
  7. 07On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.

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