octave:21> f=@(x) x.^2; octave:22> quad(@(x) f(x)./sqrt(1-x.^2),-1,1) ans = 1.57079632679468e+00 octave:23> n=1 n = 1.00000000000000e+00 octave:24> x(1)=cos((2*0+1)*pi/(2*(n+1))) x = 7.07106781186548e-01 -9.96919237755489e+00 -9.95268262244511e+00 -9.93012987755489e+00 -9.91362012244511e+00 -9.89106737755489e+00 -9.87455762244511e+00 -9.85200487755489e+00 -9.83549512244511e+00 -9.81294237755489e+00 -9.79643262244511e+00 -9.77387987755489e+00 -9.75737012244511e+00 -9.73481737755489e+00 -9.71830762244511e+00 -9.69575487755489e+00 -9.67924512244511e+00 -9.65669237755489e+00 -9.64018262244511e+00 -9.61762987755489e+00 -9.60112012244511e+00 -9.57856737755489e+00 -9.56205762244511e+00 -9.53950487755489e+00 -9.52299512244511e+00 -9.50044237755489e+00 -9.48393262244511e+00 -9.46137987755489e+00 -9.44487012244511e+00 -9.42231737755489e+00 -9.40580762244511e+00 -9.38325487755489e+00 -9.36674512244511e+00 -9.34419237755489e+00 -9.32768262244511e+00 -9.30512987755489e+00 -9.28862012244511e+00 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