In Problems 20 to 31, evaluate each integral in the simplest way possible. ∮ V ⋅ d r around the boundary of the square with vertices ( 1 , 0 ) , ( 0 , 1 ) , ( − 1 , 0 ) , ( 0 , − 1 ) if V = x 2 i + 5 x j .
In Problems 20 to 31, evaluate each integral in the simplest way possible. ∮ V ⋅ d r around the boundary of the square with vertices ( 1 , 0 ) , ( 0 , 1 ) , ( − 1 , 0 ) , ( 0 , − 1 ) if V = x 2 i + 5 x j .
In Problems 20 to 31, evaluate each integral in the simplest way possible.
∮
V
⋅
d
r
around the boundary of the square with vertices
(
1
,
0
)
,
(
0
,
1
)
,
(
−
1
,
0
)
,
(
0
,
−
1
)
if
V
=
x
2
i
+
5
x
j
.
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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