Scalar line integrals in ℝ 3 Convert the line integral to an ordinary integral with respect to the parameter and evaluate it. 25. ∫ C ( x + y + z ) d s ; C is the circle r ( t ) = 〈 2 cos t , 0 2 sin t 〉 , for 0 ≤ t ≤ 2 π .
Scalar line integrals in ℝ 3 Convert the line integral to an ordinary integral with respect to the parameter and evaluate it. 25. ∫ C ( x + y + z ) d s ; C is the circle r ( t ) = 〈 2 cos t , 0 2 sin t 〉 , for 0 ≤ t ≤ 2 π .
Solution Summary: The author explains how the line integral displaystyleundersetCint is converted into an ordinary integral and then to evaluate the value.
Scalar line integrals in
ℝ
3
Convert the line integral to an ordinary integral with respect to the parameter and evaluate it.
25.
∫
C
(
x
+
y
+
z
)
d
s
;
C is the circle
r
(
t
)
=
〈
2
cos
t
,
0
2
sin
t
〉
, for 0 ≤ t ≤ 2π.
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.
For what value of A and B the function f(x) will be continuous everywhere for the given definition?..
2. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.006.MI.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
7y2
y²
11
dy
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3. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.009.
Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
tan³(12/z) dz
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4. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.4.014.
Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)
5 sinб12x dx
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