The area enclosed between the curves y = x|x| and y = x - |x| is :
(3) 43
x 0: y = x2 and y = 0 they meet only at O (no region)
x < 0: y = -x2 and y = 2x -x2 = 2x x = -2, 0
[figure]
-x2 2x on [-2, 0], y = -x2 is the upper curve
Area = -20 (-x2 - 2x )dx = [- x33 - x2 ]-20
= 0 - ( 83 - 4 ) = 43
Answer: (3)
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