It is difficult to compute the Laplacetransform X(s) of signal x(t)=1/t* u(t) by direct integration.Instead, properties provide a simpler method.
a) Use Laplace transform properties to expressthe Laplace transform of tx(t) in terms of an unknown quantityX(s)
b) Use the definition to determine the Laplacetransform of y(t)= tx(t)
c) Solve for X(s) by using the two poeces from(a) and (b).