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Digital Library of Mathematical Functions ID
1.4.E37
R
n
=
1
n
!
∫
a
x
(
x
-
t
)
n
f
(
n
+
1
)
(
t
)
d
t
.
subscript
𝑅
𝑛
1
𝑛
subscript
superscript
𝑥
𝑎
superscript
𝑥
𝑡
𝑛
superscript
𝑓
𝑛
1
𝑡
𝑡
{\displaystyle{\displaystyle R_{n}=\frac{1}{n!}\int^{x}_{a}(x-t)^{n}f^{(n+1)}(% t)\mathrm{d}t.}}
Constraint(s)
Symbols List
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
: differential of x
!
{\displaystyle{\displaystyle!}}
:
∫
{\displaystyle{\displaystyle\int}}
: integral
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
R
n
subscript
𝑅
𝑛
{\displaystyle{\displaystyle R_{n}}}
: remainder
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