Integration

What happens when you integrate an even or an odd function over a symmetric interval [-a, a]?

This should get you started. You have a list of even an odd functions at your disposal, why not investigate? You could simply prove it using the definition and properties of the integral


  Integrate[Sin[x],{x,-5,5}]


  Integrate[Cos[x],{x,-5,5}]

Up to Even and Odd Functions