IntegrationThis 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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