Question:

Compute the moments??

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M(sub x) = ∫∫(sub R) y dxdy

M(sub y) = ∫∫(sub R) x dxdy

where R is the region bounded by the ellipse:

[(x-8)^2]/4 + [(y-1)^2]/36 = 1

M(sub x) =

M(sub y) =

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1 ANSWERS


  1. use a parametrization, polar coordinates

    x = 2cos(t)

    y = 6sin(t)

    0 ≤ t ≤ 2π

    don't forget dx dy = r dr dt

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