Just blow it away.

Calculus Level 5

Let \(y=f(x)\) be a curve passing through \((4,3)\) such that slope of normal at any point lying in the first quadrant is negative and the normal and tangent at any point P cuts the \(Y-axis\) at \(A\) & \(B\) respectively such that the midpoint of \(AB\) is origin, then find the area enclosed by the curves \(y = f(x),~y=|4.25-|x||~ \& ~ y=4.25-|2.125x|\)

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