Evaluate int (tanx+tan^3x)/(1+tan^3x)dx...

Evaluate `int (tanx+tan^3x)/(1+tan^3x)dx`

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The correct Answer is:

`-1/3 log |1+ tan x|+1/6 log | tan^(2)x-tan x+1|+(1)/(sqrt(3))tan^(-1)((2tan x-1)/(sqrt(3)))+C`

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