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Mathematics
Problem
Show that if
F
1
F_1
F
1
and
F
2
F_2
F
2
are any two antiderivatives of a continuous function
f
f
f
on
[
a
,
b
]
[a,b]
[
a
,
b
]
, then
F
1
(
b
)
−
F
1
(
a
)
=
F
2
(
b
)
−
F
2
(
a
)
F_1(b)-F_1(a)=F_2(b)-F_2(a)
F
1
(
b
)
−
F
1
(
a
)
=
F
2
(
b
)
−
F
2
(
a
)
.
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