Prove: 
Given: ![]()


As we can see f(x) =x17 .cos4x and f(-x) = (-x)17 .cos4(-x) = -x17 .cos4x
i.e. f(x) = -f(-x)
so, it is an odd function.
It is also known that if f(x) is an odd function then,


Hence proved.
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