Use Definition 7.1.1,
DEFINITION 7.1.1 Laplace Transform
Let f be a function defined for t>=0. Then the integral
L{f(t)}=\int_0^(\infty ) e^(-st)f(t)dt
is said to be the Laplace transform of f, provided that the integral converges.
to find L{f(t)}s. f(t)={(cos(t),0<=t<\pi ):}
0,t>=\pi
L{f(t)}=?