Nodes and weights for Gauss-Legendre integration


Nodes and weights for Gauss-Legendre integration.
\pm stands for "plus and minus"

n=1  0                             2 

n=2  \pm 0.57735026918962576451    1

n=3  0                             0.88888888888888888889
     \pm 0.77459666924148337704    0.55555555555555555555

n=4  \pm 0.86113631159405257522    0.34785484513745385740
     \pm 0.33998104358485626480    0.65214515486254614263

n=5  0                             0.56888888888888888893 
     \pm 0.90617984593866399280    0.23692688505618908753
     \pm 0.53846931010568309104    0.47862867049936646804

n=6 \pm 0.93246951420315202781     0.17132449237917034507
    \pm 0.66120938646626451366     0.36076157304813860737
    \pm 0.23861918608319690863     0.46791393457269104710

n=7 0                              0.41795918367346938778
    \pm 0.94910791234275852453     0.12948496616886969318
    \pm 0.74153118559939443986     0.27970539148927666759
    \pm 0.40584515137739716691     0.38183005050511894501

n=8 \pm 0.96028985649753623168     0.10122853629037625921
    \pm 0.79666647741362673959     0.22238103445337447037 
    \pm 0.52553240991632898582     0.31370664587788728607
    \pm 0.18343464249564980494     0.36268378337836198310

n=9 0                              0.33023935500125976262
    \pm 0.96816023950762608984     0.081274388361574412084
    \pm 0.83603110732663579430     0.18064816069485740439
    \pm 0.61337143270059039731     0.26061069640293546254
    \pm 0.32425342340380892904     0.31234707704000283693 

n=10 \pm 0.97390652851717172008    0.066671344308688137179
     \pm 0.86506336668898451073    0.14945134915058059038
     \pm 0.67940956829902440623    0.21908636251598204295
     \pm 0.43339539412924719080    0.26926671930999634918
     \pm 0.14887433898163121088    0.29552422471475286217

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