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Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Arc Lengths of Curves Given by Parametric Equations

Set up and evaluate the definite integral that gives the length of a parametric curve, and know when that integral measures the curve's true length.

Topic 9.3 · 6 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Where the formula comes from
  2. 02Two checks that the formula makes sense
  3. 03Evaluating the integral
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On 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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