# Math Help - Laplace transform

1. ## Laplace transform

Find the Laplace transform of $t \sin(2t + 5) = G(s)$

So if $F(s) = \mathcal{L}\{\,\sin(2t+5);t \to s\}$

Then $G(s) = -F'(s)$

But $F(s) = \;?$

Any help would be appreciated, thankyou!

2. Originally Posted by harbottle
Find the Laplace transform of $t \sin(2t + 5) = G(s)$

So if $F(s) = \mathcal{L}\{\,\sin(2t+5);t \to s\}$

Then $G(s) = F'(s)$

But $F(s) = \;?$

Any help would be appreciated, thankyou!
Note that $\sin (2t + 5) = \sin (2t) \cos (5) + \sin (5) \cos (2t)$.

3. Thank you!