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Mathematics
Mathematics
Problem
Let
F
(
x
)
F(x)
F
(
x
)
and
G
(
x
)
G(x)
G
(
x
)
be two antiderivatives of the same function
f
(
x
)
f(x)
f
(
x
)
on an interval
I
I
I
. Prove that
F
(
x
)
−
G
(
x
)
F(x)-G(x)
F
(
x
)
−
G
(
x
)
is a constant on
I
I
I
. Hence explain why the symbol ``
+
C
+C
+
C
'' is attached to every indefinite integral.
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