In[]:=
x=
2
t
+1;y=
-1
tan
(t);z=
ty
x
;
f(t)=
1
2x
x
z

sin
2y-tlog(x)
2x
;
CMRB=
∞
∫
0
f(t)csch(πt)t

MRB Constant

Author

Eric W. Weisstein
January 21, 2020
This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/MRBConstant.nb.
For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/MRBConstant.html.
©2020 Wolfram Research, Inc. except for portions noted otherwise

​​

In[]:=
x=1+
2
t
;y=ArcTan[t];z=
ty
x
;
In[]:=
CMRB=NSum(-1)^k
k
k
-1,{k,1,Infinity},​​WorkingPrecision100,Method"AlternatingSigns";
In[]:=
f[t_]=Csch[πt]
z

2x
x
Sin
2y-tLog[x]
2x
;
In[]:=
CMRB-NIntegrate[f[t],{t,0,∞},WorkingPrecision100]
Out[]=
-9.3472×
-94
10