What is the Laplace Transform of f(x)=e^{bx}.sin ax?

[roshan2004]

What is the Laplace Transform of $$f(x)=e^{bx}.sin ax$$?

 

[hamster143]

http://www.wolframalpha.com/input/?i=laplace+transform+of+e^{bx}+sin+ax

 

[roshan2004]

http://www.wolframalpha.com/input/?i=laplace+transform+of+e^{bx}+sin+ax

Yes,I have already tried it, but I want to know the process as well.

 

[hamster143]

You write down the integral as $\int e^{(b-s)x} sin ax dx$ and integrate by parts twice.

 

[adriank]

Or you write sin(ax) = (e^iax - e^-iax)/2i, which is far easier.