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In[]:=

NSum[Zeta[2k]/k^2,{k,1,Infinity}],NSumPolyLog2,

1

k^2

,{k,1,Infinity},NSum

HypergeometricPFQ{1,1,1},{2,2},

1

k^2



k^2

,{k,1,Infinity},NSum-MeijerG{{1,1,1},{}},{{1},{0,0}},-

1

2

k

,{k,1,Infinity},NSum-FoxH{{{1,1},{1,1},{1,1}},{}},{{{1,1}},{{0,1},{0,1}}},-

1

2

k

,{k,1,Infinity},NIntegrate2

LogPi

x

Sin[Pix]



x

,{x,0,1},NIntegrate2

Log

x

Sin[x]



x

,{x,0,Pi},NIntegrate

2(LogGamma[1+x]+LogGamma[1-x])

x

,{x,0,1},NIntegrate

1-Pi

xy

*CotPi

xy



2xy

,{x,0,1},{y,0,1}//MatrixForm

Out[]//MatrixForm=