Question

Laplace transform of (1-e^-t)/(t)

Answer 1

@suyash011 please help here

Answer 2

either use a table, or do it hte integral way by multiplyng it by e^(-st)

Answer 3

can u show me some starting steps please

Answer 4

split the fraction into 2 parts\[t^{-1}-e^{-t}t^{-1}\]

and work each parts as a Laplace for starters

Answer 5

the long version is to multiply e^(-st) and integrate from 0 to inf\[\int_{0}^{inf}t^{-1}e^{-st}dt-\int_{0}^{inf}t^{-1}e^{-st-t}dt\]

Answer 6

can u please help me further with this