Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C 3 x y d x + 2 x y d y , where C is the rectangle bounded by x = − 2 , x = 4 , y = 1 and y = 2.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise. ∮ C 3 x y d x + 2 x y d y , where C is the rectangle bounded by x = − 2 , x = 4 , y = 1 and y = 2.
Use Green’s Theorem to evaluate the integral. In each exercise, assume that the curve C is oriented counterclockwise.
∮
C
3
x
y
d
x
+
2
x
y
d
y
,
where C is the rectangle bounded by
x
=
−
2
,
x
=
4
,
y
=
1
and
y
=
2.
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.
Verify if div(curl F) = 0 for = (x- y)i+ (x +y)j+zk.
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Evaluate This Integral
if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to point (2,4) and curve C₂ which is a vertical line segment from point (2,4) to point (2,6) if a and b are each constant.
I'm having trouble setting up integral for these shapes.
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