Hey everyone. Having some troubles with a couple of laplace questions (as the title suggests). I'm hoping the latex makes it readable, but I'm pretty new at the stuff.

Find the laplace of:-

1. sinh(3t-4)

2. $\displaystyle \int{e^u}cos(t-u){u^2}du$ <- Int from 0 to t

3. $\displaystyle \int{f(u)du}$ in terms of F(p) = L{f(t)} <- Int from 0 to (t-a)

For (2) I'm thinking convolution theorem, but struggling with $\displaystyle {u^2}{e^u}$. And for one, well, the main struggle is the 3t

Can anyone please throw some assistance my way?

Cheers in advanced

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