derivate(integrate(f(x))) <> f(x)!



The answer in the back of the book is just one of many possible forms for
the answer.
 Two equally correct answers to an integration problem may differ by a
constant.

> The problem is that the book give:
> F(x)=-1/3*cos(x)^3 + 2/5*cos(x)^5 - 1/7*cos(x)^7 + C
> 
> which is very different from Maxima result (%o61)
> 
> So where is the true?
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