Evaluating a Double Integral Using a Change of Variables In Exercises 17-22, use the indicated change of variables to evaluate the double integral. ∫ R ∫ 4 ( x + y ) e x − y d A x = 1 2 ( u + v ) y = 1 2 ( u − v )
Solution Summary: The author explains how to calculate the value of double integral using the indicated change of variables. The transformation equations are x=12(u+v) and
Evaluating a Double Integral Using a Change of Variables In Exercises 17-22, use the indicated change of variables to evaluate the double integral.
∫
R
∫
4
(
x
+
y
)
e
x
−
y
d
A
x
=
1
2
(
u
+
v
)
y
=
1
2
(
u
−
v
)
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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