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compute the laplace transform of

h(t)= -5t^2

I took the integral((-5t^2)e^-(st)) i forgot integration by parts so i did it the hard way in my head and finally got

lim t -> oo 5[(-1/s)(t^2)(e^-st) - (2te^-st) - (2se^-st)] 0--oo

i got 10s but the book says -10/s^3

did i get the inetgration wrong or is it the second part thats wrong

i also have to verify that L[t^n]= n!/s^(n+1) basicaly the same problem but general

muchos gracias and stuff

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# Need help compute the laplace transform

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