Evaluate the following Integrals : in...

Evaluate the following Integrals :
`int (dx)/(1+x^(3))`

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The correct Answer is:

`(1)/(2)[(1)/(sqrt(2)) tan^(-1)((x-(1)/(x))/(sqrt(2)))+ (1)/(2sqrt(2)) log |(x+(1)/(x) - sqrt(2))/(x+(1)/(x) sqrt(2))+x|]`

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