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Mathematics
Problem
Explain why, if
F
1
(
x
)
F_1(x)
F
1
(
x
)
and
F
2
(
x
)
F_2(x)
F
2
(
x
)
are both antiderivatives of the same function
f
(
x
)
f(x)
f
(
x
)
, then
F
1
(
x
)
−
F
2
(
x
)
F_1(x)-F_2(x)
F
1
(
x
)
−
F
2
(
x
)
must be a constant.
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