can u help me with pullbacks and integration plz
Given that the integral,
here, R is the parallelogram with vertices at (-1, -2), (3, 0), (2, 2), and (-2, 0).
Equation of line through the point (-1, -2), (3, 0) is
x - 2y = 3
Equation of line through the point (3, 0), (2, 2) is
2x + y = 6
Equation of line through the point (2, 2), (-2, 0) is
x - 2y = - 2
Equation of line through the point (-2, 0), (-1, -2) is
2x + y = - 4
x - 2y = u
2x + y = v
Then, u = 3 and u = - 2
v = 6 and v = - 4
Also, x - 2y = u
2x + y = v
This implies that,
Use the pullback (method of change of variable), for this find the value of Jacobian ...
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