Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 3 ( x − y ) d s C : r ( t ) = t i + ( 2 − t ) j 0 ≤ t ≤ 1
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C 3 ( x − y ) d s C : r ( t ) = t i + ( 2 − t ) j 0 ≤ t ≤ 1
Solution Summary: The author explains how to calculate the line integral displaystyle undersetCint3(x-y)ds along the path.
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path.
∫
C
3
(
x
−
y
)
d
s
C
:
r
(
t
)
=
t
i
+
(
2
−
t
)
j
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.
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
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