教程 6 步，在同一个会话中按顺序运行。每一步都在引擎上执行过，下面的输出就是它实际产生的。

第 1 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> {"GlobalAdaptive", Method -> "ClenshawCurtisRule"}]//InputForm

输出

InputForm[2.]

第 2 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> {"LocalAdaptive", Method -> "ClenshawCurtisRule"}]//InputForm

输出

InputForm[2.]

第 3 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> "LobattoKronrodRule"]//InputForm

输出

InputForm[NIntegrate[1/Sqrt[x], {x, 0, 1}, Method -> LobattoKronrodRule]]

第 4 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> {"GlobalAdaptive", Method -> "LobattoKronrodRule"}]//InputForm

输出

InputForm[2.]

第 5 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> "MonteCarloRule"]//InputForm

输出

InputForm[NIntegrate[1/Sqrt[x], {x, 0, 1}, Method -> MonteCarloRule]]

第 6 步

NIntegrate[1 / Sqrt[x], {x, 0, 1}, Method -> {"AdaptiveMonteCarlo", Method -> "MonteCarloRule"}]//InputForm

输出

InputForm[2.]

N integrate integration rules integration rule specification

用到的函数