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Why is Mathematica assuming k==l and how do I make it not to?

• To: mathgroup at smc.vnet.net
• Subject: [mg92588] Why is Mathematica assuming k==l and how do I make it not to?
• From: Aaron Fude <aaronfude at gmail.com>
• Date: Tue, 7 Oct 2008 07:04:51 -0400 (EDT)

As in

Assuming[Element[{k, l}, Integers] ,
 Integrate[Cos[k alpha] Cos[l alpha], {alpha, -Pi, Pi}]]

I get 0 whereas the answer is Pi if k=l;

Thanks!

Aaron