如何解决为什么 mpmath.quadgl(Gauss–Legendre quadrature) 显示错误的估计误差？
我试图计算平凡的积分，但有无限个端点：
import mpmath as mp
def f(x,y):
return 1/(x**2 + y**2)
mp.quadgl(f,[1,mp.inf],verbose = True,maxdegree = 10)
但是 mpamth 给出了错误的估计误差：
Integrating from 1 to +inf (degree 1 of 10)
Integrating from 1 to +inf (degree 2 of 10)
Estimated error: 1.9373 epsilon: 2.77556e-17 result: 6.78094
Integrating from 1 to +inf (degree 3 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 8.83306
Integrating from 1 to +inf (degree 4 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 10.9466
Integrating from 1 to +inf (degree 5 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 13.0918
Integrating from 1 to +inf (degree 6 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 15.2531
Integrating from 1 to +inf (degree 7 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 17.4225
Integrating from 1 to +inf (degree 8 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 19.596
Integrating from 1 to +inf (degree 9 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 21.7635
Integrating from 1 to +inf (degree 10 of 10)
Estimated error: 1.0 epsilon: 2.77556e-17 result: 24.0217
Failed to reach full accuracy. Estimated error: 1.0
这是由于无限端点造成的吗？
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