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Mathematics
Mathematics
Problem
Show that for any integrable function
f
f
f
on
[
a
,
c
]
[a,c]
[
a
,
c
]
,
∫
a
b
f
(
x
)
d
x
+
∫
b
c
f
(
x
)
d
x
+
∫
c
a
f
(
x
)
d
x
=
0.
\int_a^b f(x)\,dx + \int_b^c f(x)\,dx + \int_c^a f(x)\,dx = 0.
∫
a
b
f
(
x
)
d
x
+
∫
b
c
f
(
x
)
d
x
+
∫
c
a
f
(
x
)
d
x
=
0.
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