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Course: Integral Calculus > Unit 4

Lesson 6: Calculator-active practice
Math
Integral Calculus
Parametric equations, polar coordinates, and vector-valued functions
Calculator-active practice
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Area with polar functions (calculator-active)

Google Classroom

Problem

Let R be the entire region under the x-axis enclosed by the polar curve r=θsin2⁡(θ), as shown in the graph.
What is the area of R?
Use a graphing calculator and round your answer to three decimal places.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi