# Area of a Region

Calculus Level pending

Find the region bounded by the curve $${\bf 9x^2 - 6xy + y^2 - 12\sqrt{10}\:x - 36\sqrt{10}\:y = 0 }$$ and the line $${\bf -\sqrt{10}\:x - 3\sqrt{10}\:y + 30 = 0. }$$

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