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Given the curves y=f(x) passing through ...

Given the curves y=f(x) passing through the point (0,1) and `y=int_(-oo)^(x)` f(t) passing through the point `(0,(1)/(2))` The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), is

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