The area enclosed by the curve \( [x+3 y]=[x-2] \) where \( x \in[3,4) \) is : (where [.] denote...

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The area enclosed by the curve \( [x+3 y]=[x-2] \) where \( x \in[3,4) \) is :
(where [.] denotes greatest integer function.)
(a) \( \frac{2}{3} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{1}{4} \)
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