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Evaluate: int(-1)^1(x^3+|x|+1)/(x^2+2|x|...

Evaluate: `int_(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx`

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`int_(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx`
=.`int_(-1)^1(x^3)/(x^2+2|x|+1)dx`+`int_(-1)^1(|x|+1)/(x^2+2|x|+1)dx`
=0+2`int_(-1)^1(|x|+1)/(|x|+1)^2dx`
`=2int_0^1(1/(x+1))dx`
...
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