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If `f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1}` and `g(x) = (x-1/2)^2` then find the area bounded by f(x) and g(x) from `x = 1/2` t

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If `f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1}` and `g(x) = (x-1/2)^2` then find the area bounded by f(x) and g(x) from `x = 1/2` to `x= sqrt3/2`
A. `1/3 +(sqrt(3))/(4)`
B. `1/2+(sqrt(3)/4)`
C. `sqrt(3)/4-1/3`
D. `1/2 - sqrt(3)/4`
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Correct Answer - `C`
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