Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F of 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 + 1 ) d t ( a ) F ( 0 ) ( b ) F ( 2 ) ( c ) F ( 6 )
Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F of 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 + 1 ) d t ( a ) F ( 0 ) ( b ) F ( 2 ) ( 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 of 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
+
1
)
d
t
(
a
)
F
(
0
)
(
b
)
F
(
2
)
(
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.
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