# Thread: Laplace transform

1. ## Laplace transform

What is the laplace transform of sinh(3t - 4)?

I have Laplace of sinh(3t - 4) = integral from 0 to infinity of exp(-pt).f(t)dt
let u = 3t -4
dt = 1/3 du

1/3 integral of from 0 to infinity of exp(-pt)sinhu du
and now i'm stuck

2. Originally Posted by CookieC
What is the laplace transform of sinh(3t - 4)?

I have Laplace of sinh(3t - 4) = integral from 0 to infinity of exp(-pt).f(t)dt
let u = 3t -4
dt = 1/3 du

1/3 integral of from 0 to infinity of exp(-pt)sinhu du
and now i'm stuck
Try using:

$\sinh(x)=\dfrac{e^x-e^{-x}}{2}$

CB