The following integral generates a couple of errors that I'm not sure what they mean or how to prevent them

Log[Sqrt[(0.27059805007309845` - 
  0.7071067811865475` s)^2 + (-0.2705980500730985` + 
  0.7071067811865475` s)^2]], {s, .3826, .3829}]


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  • $\begingroup$ I got -0.00291087 + 0.601118 i with M10. $\endgroup$
    – Sumit
    Commented Apr 27, 2016 at 14:06
  • $\begingroup$ 1) The numerical NIntegrate is typically more appropriate than the symbolic integrator Integrate if you want a numerical approximation of an integral. Symbolic and numerical integration use VERY different approaches. Those errors are probably cause by Integrate's internal routines getting tripped up by your machine-precision input. 2) Your integrand has a singularity within the integration domain that is probably going to cause trouble. $\endgroup$
    – MarcoB
    Commented Apr 27, 2016 at 14:08
  • $\begingroup$ @happyfish For $s = 0.382683$ the argument of the logarithm vanishes, so you are trying to calculate $\log0$. I am not sure how to deal with that. $\endgroup$
    – MarcoB
    Commented Apr 27, 2016 at 14:16
  • $\begingroup$ @MarcoB sorry I ignored the negative sign before 0.27. but Minimize is not giving the correct result anyway maybe due to precision errors. $\endgroup$
    – vapor
    Commented Apr 27, 2016 at 14:19
  • 2
    $\begingroup$ The messages comprise a small bug. Will be fixed. $\endgroup$ Commented Apr 27, 2016 at 14:27

1 Answer 1



Log[Abs[2 (0.27059805007309845` - 
  0.7071067811865475` s)]], {s, .3826, .3829}]

returns no errors, since it is the same with your integral.


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