Answer to Question #12529 in Real Analysis for Melvin Henriksen

Question

Find Laplace transform F(p) for function f(t)=ln(t)

Answer 1

for p<0 => F(p) = ln(abs(p))/abs(p)-(pi*I)/abs(p)+.5772156649/abs(p)

for p>0 => F(p) -> infinity