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Mathematics
Problem
State the relationship that connects
∫
a
c
f
(
x
)
d
x
\displaystyle \int_{a}^{c} f(x)\,dx
∫
a
c
f
(
x
)
d
x
with the two integrals over the adjacent subintervals
[
a
,
b
]
[a,b]
[
a
,
b
]
and
[
b
,
c
]
[b,c]
[
b
,
c
]
, and briefly describe its geometric meaning in terms of area under the curve.
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