HP 50g Graphing Calculator - Manual (Page 470)

Page 14-10
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:
∫ ∫ ∫∫ =
β
α
θ
θ
θ θ φ θ φ
) (
) (
'
) , ( ) , (
g
f
R
rdrd r dA r