possible error at the cookbook of hfss

In the "Calculating the Current along a Wire or Trace" section of cookbook if I understood correctly the H field has been dot producted with the closed line, which had been defined previously, and then the line integral is taken. And there it says that the result of this integral is equal to the current which that closed line encircles.

Is this really true? I mean there is ampere's circuital law which says that;

∫H?dl=μ*I . Has there this formula used for finding the current? If it is so shouldn't we divide the result to μ?