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

Area of a Polar Region or Bounded by a Single Polar Curve

Find the area swept out by a polar curve with A = ½∫r² dθ, choosing limits that trace the region exactly once, including petals and inner loops.

Topic 9.8 · 6 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01Sectors instead of rectangles
  2. 02Choosing limits that trace the region once
  3. 03Negative and inner loops
  4. 04Worked examples
  5. 05Where students lose points
  6. 06On the exam

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