antitransformada de laplace?

Hola, tengo la siguiente antitransformada de laplace para resolver y quisiera saber si resolvi bien:

F(s) = -3s^2 + s / (s-2)(s^2-6s+10)

Aplicando fracciones simples -->

(A/s-2) + (bs + c/s^2-6s+10) = -3s^2+s

A = -5 ; B = 2 ; C = -25

L-1 (-5/s-2) + L-1(2s - 25 / (s-3)^2 + 1)

-->-5e^2t + 2cos(t)e^3t - 19sen(t)e^3t

Esta bien este resultado?

Desde ya muchas gracias!!

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