The area bounded by the curve y = x | x...

The area bounded by the curve `y = x | x |`, x-axis and the ordinates `x = - 1`and `x = 1`is given by(A) 0 (B) `1/3` (C) `2/3` (D) `4/3`[Hint : `y=x^2`if `x > 0`and `y=-x^2`if `x < 0`].

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area=`int_-1^0ydx+int_0^1ydx`
=`int_-1^0-x^2dx+int_0^1x^2dx`
=`(-x^3/3)_-1^0+(x^3/3)_0^1`
=`|-1/3|+1/3`
=`2/3 unit^2`

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