int (x^(3)-1)/(x^(3)+x)dx =...

`int (x^(3)-1)/(x^(3)+x)dx =`

`x-log x+ (1)/(2) log(x^(2)+1)+tan^(-1)x + c`

`x-log x + log sqrt(x^(2)+1) - tan^(-1) x + c`

`x + log x + log sqrt(x^(2)+1) + tan^(-1) x + c`

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