Use the given transformation to evaluate the given integral, where R is the triangular region with vertices (O, 0), (6, 1), and (1, 6) Step 1 For the transformation x 6u v, yu6v, the Jacobian is ???? 35 a(u, v) 6 y u av Also Step 2 To find the region S in the uv-plane which corresponds to R, we find the corresponding boundaries. The line though (0, 0) and (6, 1) is y 1/6 1/6x, and this is the image of v - Step 3 The line through (6, 1) and (1, 6) is y and this is the image of The line through (0, 0) and (1, 6) is ? and this is the image of
