Calculus Level 5

A point $$P$$ moves on an ellipse whose foci are $$S$$ and $$S'$$. Find the mean radius of the incircle of the triangle $$\Delta PSS'$$ averaged over one complete revolution of point $$P$$ on the ellipse.

Note: The lengths of the semi-major and semi-minor axes of the ellipse are 5 and 4, respectively.

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