Laplace Transform/Graphical Interpretation/Examples/Cosine t of Half + 4 i

Example of Graphical Interpretation of Laplace Transforms
For $\map {\laptrans {\map \cos t} } {\dfrac 1 2 + 4 i}$, though the contour is not simple, it still "shrinks" as the parameter $t$ increases without bound:


 * LCost halfPlus4i.png