The Laplace transform of e-at sin ωt u(t) is:

• A. \(\frac{\omega }{{{{\left( {s + a} \right)}^2} + {\omega ^2}}}\)
• B. \(\frac{\omega }{{\left( {s + a} \right) + \omega }}\)
• C. \(\frac{{s + a}}{{\left( {s + a} \right) + \omega }}\)
• D. \(\frac{{s + a}}{{{{\left( {s + a} \right)}^2} + {\omega ^2}}}\)