Find
∫
∫
R
(
3
x
+
4
y
)
d
A
\displaystyle \int\int_{{R}}{\left({3}{x}+{4}{y}\right)}{d}{A}
∫
∫
R
(
3
x
+
4
y
)
d
A
where
R
\displaystyle {R}
R
is the parallelogram with vertices (0,0), (4,-2), (-5,-1), and (-1,-3).
Use the transformation
x
=
4
u
−
5
v
,
y
=
−
2
u
−
v
\displaystyle {x}={4}{u}-{5}{v},\ {y}=-{2}{u}-{v}
x
=
4
u
−
5
v
,
y
=
−
2
u
−
v
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity