Page 14-10
∫∫∫∫
=
β
α
θ
θ
θθφθφ
)(
)(
'
),(),(
g
f
R
rdrdrdAr
where the region R’ in polar coordinates is R’ = {α < θ < β, f(θ) < r < g(θ)}.
Double integrals in polar coordinates can be entered in the calculator, making
sure that the Jacobian |J| = r is included in the integrand. The following is an
example of a double integral calculated in polar coordinates, shown step-by-
step:
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