Dear All,
I am trying to find Integral[Cos[x]/x,{x,0,infinite}]. Integrate can not give a result since the expression is divergent. However, NIntegrate gives a result that I do not trust.
Integrate[1/x Cos[x], {x, 0, \[Infinity]}]
NIntegrate[1/x Cos[x], {x, 0, \[Infinity]}]
Does anyone know if this integral can be taken? And how can we trust the result?
Best wishes,
İsa