Attachment B ii TABLE OF LAPLACE TRANSFORMS f(t) = L−1{F(s)} F(s) = ∞ 0 f(t)e−stdt a, b and c real 1. 1 1 s, Re{s} > 0 2. eat 1 s−a, Re{s} > a 3. tn, n is a positive integer n! sn+1, Re{s} > 0 4. tp,p > −1 Γ(p+1) sp+1, Re{s} > 0 5. sin(at) a s2+a2, Re{s} > 0 6. cos(at) s s2+a2, Re{s} > 0 7. sinh(at) a s2−a2, Re{s} > |a| 8. cosh(at) s s2−a2, Re{s} > |a| 5. eat sin(bt) b