Use a calculator or computer to evaluate the line integral correct to four decimal places. 28. ∫ C z ln ( x + y ) d s , where C has parametric equations x = 1 + 3 t , y = 2 + t 2 , z = t 4 , − 1 ⩽ t ⩽ 1
Use a calculator or computer to evaluate the line integral correct to four decimal places. 28. ∫ C z ln ( x + y ) d s , where C has parametric equations x = 1 + 3 t , y = 2 + t 2 , z = t 4 , − 1 ⩽ t ⩽ 1
Solution Summary: The author calculates the line integral of a given function correct to four decimal places.
Use a calculator or computer to evaluate the line integral correct to four decimal places.
28.
∫
C
z
ln
(
x
+
y
)
d
s
, where
C
has parametric equations
x
=
1
+
3
t
,
y
=
2
+
t
2
,
z
=
t
4
,
−
1
⩽
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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