Evaluating a Line Integral in Differential Form In Exercises 53-56, evaluate the line integral along the path C given by x = 2 t , y = 4 t , where 0 ≤ t ≤ 1 . ∫ C ( x + 3 y 2 ) d y
Evaluating a Line Integral in Differential Form In Exercises 53-56, evaluate the line integral along the path C given by x = 2 t , y = 4 t , where 0 ≤ t ≤ 1 . ∫ C ( x + 3 y 2 ) d y
Solution Summary: The author explains how to calculate the line integral displaystyleundersetCint along the path C given by x=2t,y=4t
Evaluating a Line Integral in Differential Form In Exercises 53-56, evaluate the line integral along the path C given by
x
=
2
t
,
y
=
4
t
, where
0
≤
t
≤
1
.
∫
C
(
x
+
3
y
2
)
d
y
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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