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Let the area of the region enclosed by the curve y = \ x, x\ and the x axis between x = - to x = be A. Then A2 is equal to .
16
x = x at x = - 3 4, 4 y = x on [- , - 3 4 ] [ 4, ], y = x on [- 3 4, 4 ]
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A1 = - -3 /4(- x) dx = 1 2
A2 = -3 /40(- x) dx = 1 + 1 2
A3 = 0 /4 x dx + /4 /2 x dx = 2 (1 - 1 2 )
A4 = /2 (- x) dx = 1
A = A1 + A2 + A3 + A4 = 4 A2 = 16
Answer: 16
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