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Ann [662]
3 years ago
10

Find the area contained between

le=" {y }^{2} = x" alt=" {y }^{2} = x" align="absmiddle" class="latex-formula">
and
y =  {x}^{2}
Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

The area is given by

\displaystyle\int_0^1\sqrt x-x^2\,\mathrm dx=\dfrac23x^{3/2}-\dfrac13x^3\bigg|_{x=0}^{x=1}

so the area is

\dfrac23-\dfrac13=\dfrac13

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