standard form of LT that can be inverted by table look-up?
My table of LT's has:
which should take case of your last form.
However we can do the same thing with partial fractions if you will:
(please check the arithmetic)
Havin trouble solving this partial fraction:
i think i can break it up into: . . Yes, you can . . . but why?
Partial Fractions are used when the denominator can be factored.
. . Like: . or: .
As Captain Black pointed out, it can be factored: .
. . but I doubt that you want to introduce complex numbers.
If this is an integration problem: