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Integrate the rational functions1/(x^4-1...

Integrate the rational functions`1/(x^4-1)`

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`int(1)/(x^(4)-1)dx`
`=int(1)/((x^(2)-1)(x^(2)+1))dx`
`=(1)/(2) int(2)/((x^(2)-1)(x^(2)+1))dx`
`=(1)/(2) int((x^(2)+1)-(x^(2)-1))/((x^(2)-1)(x^(2)+1))dx`
`=(1)/(2) int(1)/(x^(2)-1) dx -(1)/(2) int(1)/(x^(2)+1)dx`
`=(1)/(2) .(1)/(2) log |(x-1)/(x+1)|-(1)/(2) tan^(-1) x+c`
` =(1)/(4) log|(x-1)/(x+1)|-(1)/(2) tan^(-1) x+c`
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