3blue1brown

$\int_{0}^{\inf} f(t) \mathcal{e}^{st} \,dt$

What does it means to integrate a complex function ?

• integrating scalar function gives area below the function
• but as generalisation it can be seen as the mean on sum of intervall
• this generalize as barycenter for complex function

Limited Continutation

• How to defined a complex function outside of it’s defintion domain
  • either there is no such extension
  • or there is only one that exist