express the limit as a definite integral on the given interval
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Definite integrals can be defined through a partition as a limit of finite sums of expressions given by the value of the function times the amplitude of the interval, that is:
b
∫
a
f
(
x
)
d
x
=
lim
n
→
∞
n
∑
i
=
1
f
(
x
i
)
Δ
x
,
Δ
x
=
0
n
,
x
i
=
a
+
i
Δ
x
.
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