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2.3 KiB

One multiple pole A
int_{-1}^{1} ( 1/2 + (x-A)^(-100) ) dx
Pole is 1.100
The maximal number of iterations is 33.000
Computed value: 1.0101007910992534e+97
Estimated relative error: 1.5290575592744757e-06
Exact value: 1.0101010101009214e+97
Exact relative error: 2.1681165129905366e-07
Pole is 1.200
The maximal number of iterations is 33.000
Computed value: 1.5936583592051018e+67
Estimated relative error: 5.6685862861444509e-07
Exact value: 1.5936583943857426e+67
Exact relative error: 2.2075396399756642e-08
Pole is 1.300
The maximal number of iterations is 33.000
Computed value: 5.8797734221106097e+49
Estimated relative error: 2.6108639293528722e-07
Exact value: 5.8797733863109233e+49
Exact relative error: 6.0886167219109666e-09
Pole is 1.400
The maximal number of iterations is 33.000
Computed value: 2.5143496194492988e+37
Estimated relative error: 1.3415963389562741e-07
Exact value: 2.5143496072165401e+37
Exact relative error: 4.8651780382158449e-09
Pole is 1.500
The maximal number of iterations is 33.000
Computed value: 6.4022757963439605e+27
Estimated relative error: 6.9146268726075923e-08
Exact value: 6.4022757587284319e+27
Exact relative error: 5.8753371057207460e-09
Pole is 1.600
The maximal number of iterations is 33.000
Computed value: 9.2766467372655886e+19
Estimated relative error: 3.8531483753768652e-08
Exact value: 9.2766467120392978e+19
Exact relative error: 2.7193329810160094e-09
Pole is 1.700
The maximal number of iterations is 33.000
Computed value: 2.1860437271615738e+13
Estimated relative error: 2.1163705809396877e-08
Exact value: 2.1860437228921891e+13
Exact relative error: 1.9530188577476792e-09
Pole is 1.800
The maximal number of iterations is 33.000
Computed value: 3.9669443193840355e+07
Estimated relative error: 1.2003953457507270e-08
Exact value: 3.9669443143819802e+07
Exact relative error: 1.2609340238611821e-09
Pole is 1.900
The maximal number of iterations is 33.000
Computed value: 3.4326017746224124e+02
Estimated relative error: 6.8438745411563917e-09
Exact value: 3.4326017723627854e+02
Exact relative error: 6.5828409390178422e-10
Pole is 2.000
The maximal number of iterations is 33.000
Computed value: 1.0101010101051746e+00
Estimated relative error: 3.9680458918503632e-11
Exact value: 1.0101010101010102e+00
Exact relative error: 4.1227021796430563e-12