The area of the region A = {(x, y) : 0 $ \le $ y $ \le $x |x| + 1 and $-$1 $ \le $ x $ \le $1} in sq. units, is :

Question

The area of the region

A = {(x, y) : 0 $ \le $ y $ \le $x |x| + 1 and $-$1 $ \le $ x $ \le $1} in sq. units, is :

${2 \over 3}$

${4 \over 3}$

${1 \over 3}$

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