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Find the area contained between


{y }^(2) = x
and

y = {x}^(2)

1 Answer

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The area is given by


\displaystyle\int_0^1\sqrt x-x^2\,\mathrm dx=\frac23x^(3/2)-\frac13x^3\bigg|_(x=0)^(x=1)

so the area is


\frac23-\frac13=\frac13

User Taha EL BOUFFI
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