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what \: is \: the \: area \: of \: the \: region \: enclosed \: by \: the \: graph \: of \: y {}^(2) = x + 1 \: and \: y {}^(2) = - x + 1

User Cozek
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it's the same as 4 time the integral of (1-x^2) from 0 to 1 which is:


(8)/(3)

User Lonix
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