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

Question

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

Answer 1

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

`(8)/(3)`