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Correct answer for all n

• To: mathgroup at smc.vnet.net
• Subject: [mg113216] Correct answer for all n
• From: Sam Takoy <sam.takoy at yahoo.com>
• Date: Tue, 19 Oct 2010 05:55:11 -0400 (EDT)

Hi,

Assuming[Element[n, Integers],
  1/(2 \[Pi]) Integrate[Sin[a]*Exp[-I*n*a], {a, -Pi, Pi}]]

returns 0, where as for n = 1 the answer is not zero. Anyway to have 
Mathematica acknowledge that automatically?

Many thanks in advance,

Sam