Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 2 x y z d s C : r ( t ) = 12 t i + 5 t j + 84 t k 0 ≤ t ≤ 1
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 2 x y z d s C : r ( t ) = 12 t i + 5 t j + 84 t k 0 ≤ t ≤ 1
Solution Summary: The author explains how to calculate the line integral displaystyleundersetCint 2xyzds along the path.
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path.
∫
C
2
x
y
z
d
s
C
:
r
(
t
)
=
12
t
i
+
5
t
j
+
84
t
k
0
≤
t
≤
1
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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