A calculus problem by anushka sharma

Calculus Level pending

Consider the parabola \(C: y=x^2\). A circle \(K\), with center on the \(y-\)axis and radius 1, is tangent to \(C\) at 2 distinct points.

Find the area bounded by \(C\) and \(K \) (but not in \(K\)).

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