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

In[7]:=

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

Out[7]=

  0

In[8]:=

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

Out[8]=

  2 Sin[5]

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