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Visualizing Regions of Integration in Polar Coordinates


Working in polar coordinates r and θ, select an area element dA, either r dr dθ or r dθ dr, then enter an integrand and the appropriate bounds of integration.

Compute the value of the integral either exactly or numerically.


Obtain a graph of the planar region of integration and the 3-D region that is determined by the

integrand and the limits of integration.

Evaluate RΨr,θ dA and Graph R 

Area Element dA 


r dr dθ 

r dθ dr 

, Ψ=  


Value of Integral













Bounding Curves


Commands Used

Int, plot, plot3d, plots[display]

Related Task Templates

Multivariate Calculus > Integration > Multiple Integration > Polar

See Also

Student[MultivariateCalculus], Student[VectorCalculus][int]