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