Use the transformation x = u, y =uv, to evaluate the integral 2 •2 dydx by first writing it as an integral over a region G in the uv-plane.

Use the given transformation to evaluate the given integral, where R is the region bounded by the ellipse 4x² + 25y2 = 100. L = [Sz 3x2 dA; 5u, y = 2v L =

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. Integral Attatched

u Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 4, and the lines y = x, y = 4x. Use the transformation x=, y = uv with u> 0 and v> 0 to V rewrite the integral below over an appropriate region G in the uv-plane. Then evaluate the uv-integral over G. Vxy dxdy R