Changing Variables in Multiple Integrals
y Example 3. Evaluate dx dy, where R is the region pictured, having R x as boundaries the curves x2 −y2 = 1, x2 −y2 = 4, y = 0, y = x/2 . Solution. Since the boundaries of the region are contour curves of x2 −y2 and y/x , and the integrand is y/x, this suggests making the change of variable ................
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