olymmath

HMMT 2005 K6

  • Calculus
  • Answer

The graph of r=2+cos⁡2θr=2+\cos 2 \theta and its reflection over the line y=xy=x bound five regions in the plane. Find the area of the region containing the origin.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{9 \pi}{2}-8

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