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Home : Support : Online Help : Tasks : Calculus - Multivariate : Integration : Visualizing Regions of Integration : Polar

Visualizing Regions of Integration in Polar Coordinates

	Description
	Working in polar coordinates $r$ and $θ$ , select an area element $dA$ , either $r dr d θ$ or $r d θ dr$ , 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 $\iint_{R} Ψ (r, θ) dA$ and Graph $R$

Area Element $dA$

$r dr dθ$

$r dθ dr$

, $Ψ =$

Value of Integral

$G =$	$b =$
$g =$	$a =$

Bounding Curves

"Volume"

	Commands Used
	Int, plot, plot3d, plots[display]

	Related Task Templates
	Multivariate Calculus > Integration > Multiple Integration > Polar

	See Also
	Student[MultivariateCalculus], Student[VectorCalculus][int]

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