In Exercises 1−6 find the Laplace transform by the method of Example 8.4.1. Then express the given function f in terms of unit step functions as in Eqn. (8.4.6), and use Theorem 8.4.1 to find L(f). Where indicated by, graph f. CGf(t)={ 1,
t+2,
​
0≤t<1.
t≥1.
​