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Curves `y=f(x)` passing through the point `(0,1)` and `y=int_-oo^x f(t) dt` passing through the point `(0,1/3)` are such that the tangents drawn to them at the point with equal abscissae intersect on x-axis. Answer the question:The area bounded by the curve `y=f(x), y=x` and ordinates `x=0` and `x=1` is (A) `(e^2-1)/2` (B) `(e^2-1)/3` (C) `(e^3-1)/3` (D) none of these

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