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2.11.E1
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Formula:995
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MaRDI QID
Q995
Label: 2.11.E1
Digital Library of Mathematical Functions ID
2.11.E1
I
(
m
)
=
∫
0
π
cos
(
m
t
)
t
2
+
1
d
t
,
𝐼
𝑚
superscript
subscript
0
𝜋
𝑚
𝑡
superscript
𝑡
2
1
𝑡
{\displaystyle{\displaystyle I(m)=\int_{0}^{\pi}\frac{\cos\left(mt\right)}{t^{% 2}+1}\mathrm{d}t,}}
Constraint(s)
Symbols List
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
: cosine function
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
: differential of x
∫
{\displaystyle{\displaystyle\int}}
: integral
I
(
m
)
𝐼
𝑚
{\displaystyle{\displaystyle I(m)}}
: integral
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