Use the given transformation to evaluate the given integral, where R is the para

Question

Use the given transformation to evaluate the given integral, where R is the parallelogram with vertices (-2, 4), (2, -4), (5, -1), and (1, 7). L = integrate integrate R(9x+6y)dA; x = 1/3(mu + nu), y = 1/3(nu-2 mu) L = Use the given transformation to evaluate the given integral, where R is the region bounded by the ellipse 4x2 + 25y2 = 100. L = integrate integrate R 9x^2 dA; x = 5mu, y = 2nu L= Use the given transformation to evaluate the given integral, where R is the region in the first quadrant bounded by the lines y = (4/5)x and y = 2x and the hyperbolas xy = 4/5 and xy = 2. L = integrate integrate R 4xy dA; x = mu/nu, y = nu L= Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by the ellipse 64X^2 + 25y^2= 1. L = integrate integrate R 3 sin(384x^2 + 150Y^2) dA L = Evaluate the given integral by making an appropriate change of variables, where R is given by the following inequality. L = integrate integrate R e^6x+6y dA; 6|x| + 6|y| GE 6 L=

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