Using the Laplace transform pairs of Table 2.1 and the Laplace transform theorems of Table 2.2, derive the Laplace transforms for the following time functions:
a. e−atsin(wt)u(t)
b. t3u(t)
a) w/(s+a)2+w2 ;6/s4
b) 1/s(a−s) ;6/s4
c) 1/s(a−s) ;1/s4
d) w/(s+a)2+w2 ;1/s4