本文介绍了找不到明确的积分的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!

问题描述

如果我尝试评估以下积分,我将收到一个众所周知的错误:找不到明确的积分"

I am getting a well-known error of "Explicit integral could not be found" if I try to evaluate following integral

syms z;
funz=1./(1+exp((z*z-0.5)/0.1));
Integ2=int(funz,z,0,inf)

我得到警告:

Warning: Explicit integral could not be found.
Integ2 =
int(1/(exp(10*z^2 - 5) + 1), z == 0..Inf)

Mathematica将该积分评估为0.693.

Mathematica evaluates this integral to 0.693.

我尝试将积分下限替换为较小的有限数字(0.001),但这无济于事.请帮助确定解决此问题的方法.任何帮助表示赞赏.非常感谢!

I have tried replacing lower integration limit to some small finite number (0.001) but that doesn't help.Please help in identifying the fix for this problem.Any help is appreciated.Thanks a lot !

推荐答案

尝试可变精度算术vpa:

syms z;
funz=1./(1+exp((z*z-0.5)/0.1));

Integ2=int(funz,z,0,inf)
Warning: Explicit integral could not be found.

Integ2 =
int(1/(exp(10*z^2 - 5) + 1), z = 0..Inf)

vpa(Integ2,5)  % 5 is the number of significant digits
ans =
0.69305

请参见文档近似定积分"中的最后一个示例.引用:

See the last example in the documentation, "Approximate Definite Integrals".Quote:

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09-15 04:50