Use Green’s theorem to evaluate the following integrals. 442. ∫ C 3 x y d x + 2 x y 2 d y , Where C is a square with vertices ( 0 , 0 ) , ( 0 , 2 ) , ( 2 , 2 ) and ( 2 , 0 )
Use Green’s theorem to evaluate the following integrals. 442. ∫ C 3 x y d x + 2 x y 2 d y , Where C is a square with vertices ( 0 , 0 ) , ( 0 , 2 ) , ( 2 , 2 ) and ( 2 , 0 )
Use Green’s theorem to evaluate the following integrals.
442.
∫
C
3
x
y
d
x
+
2
x
y
2
d
y
, Where
C
is a square with vertices
(
0
,
0
)
,
(
0
,
2
)
,
(
2
,
2
)
and
(
2
,
0
)
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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