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Using integration, find the area of the region bounded by the line 2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0.

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Let the line AB, BC and CA have equations 2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0 resp. B(2, 0). C(4, 3) and A(1, 2)

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