What is the integral of e^-(x/2) * sin(a*x) dx?

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what is the integral of e^-(x/2) * sin(a*x) dx??
 
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This looks enough like a schoolwork question that it needs to be re-posted in the Homework Help, Calculus & Beyond forum, and you need to show your efforts at working toward a solution.
 
Do an "integration by parts" twice. Start by letting u= e^{-x/2} and dv= sin(ax)dx
 

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