Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F at each value of the independent variable and graphically. show the area given by each value of the independent variable. F ( x ) = ∫ 0 t ( 1 2 t 2 + 2 ) d t ( a ) F ( 0 ) ( b ) F ( 4 ) ( c ) F ( 6 )
Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F at each value of the independent variable and graphically. show the area given by each value of the independent variable. F ( x ) = ∫ 0 t ( 1 2 t 2 + 2 ) d t ( a ) F ( 0 ) ( b ) F ( 4 ) ( c ) F ( 6 )
Solution Summary: The author explains how to calculate the accumulation function F and evaluate F at each value of the independent variable.
Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F at each value of the independent variable and graphically. show the area given by each value of the independent variable.
F
(
x
)
=
∫
0
t
(
1
2
t
2
+
2
)
d
t
(
a
)
F
(
0
)
(
b
)
F
(
4
)
(
c
)
F
(
6
)
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.
17. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.2.050.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
du
4√3-
-4²
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18. [-/1 Points] DETAILS
MY NOTES
SESSCALCET2 6.2.051.
Evaluate the integral. (Use C for the constant of integration.)
-
49
dx
x²
+3
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19. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.2.057.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
25+ x2
dx
Let (5,3,-7) and = (2, -3, -6).
=
Compute the following:
u× u =
-4(u xv)
ux (-4v)
(+v) × v=
Let a = (4, -2, -7) and 6 = (2,5, 3).
(ã − ò) × (ã + b) =
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