Integrate Over a Simple Shape? 1.

• Modify integrand to cast integral into a simple shaped region

  • define a function indicating if inside or outside R

• Difficult problems remain

  • grid must be fine enough to resolve shape
  • many points lie outside region of interest
  • too many quadrature points for our high-dimensional integrals (see applet again)

• Click here for an applet demonstrating 2D quadrature

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