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Variable substitution in multivariate Integrals

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Please see the attached file for the fully formatted problems.

calculate the integarl of (3x + 4) over the region bounded by
the lines y =x, y = x-2, y =-2x and y = 3 - 2x;

Use:

x = 1/3(u+ v), y = 1/3(v - 2u)

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The solution shows how to utilize the coordinates transormation to obtain a nicer form of a double integral.

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