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We shall find the points of intersection of y = x and y = x2.

Equating the R.H.S.

∴ x = x2 ⇒ x – x2 = 0

x (1 – x) = 0

x = 0, 1

∴ y = 0, 1 and hence (0, 0), (1, 1) are the points of intersection.

We have Green’s theorem in a plane,

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