1. ## not sure

Hi everyone,

i learn laplace transform using tables.recently,one of my friends asked me one question.

1.Derive the Laplace transform of f(t)=sin(3t), from first principles (not the table).

i just know hot to solve using table.anyone can help me?

Thanx.

2. You need to find $\int_0^{\infty}e^{-st}sin(3t)~dt$