Let R be the region in the first quadrant of the​ xy-plane bounded by the hyperbolas xy=​1, xy=9​, and the lines y=​x, y=16x. Use the transformation x = u/v, y=uv with u>0 and v>0 to rewrite the integral below over an appropriate region G in the​ uv-plane. Then evaluate the​ uv-integral over G.

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