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Integrate the follwing functions: 1/(x^4...

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

Text Solution

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`1/(x^4-1) = 1/((x^2-1)(x^2+1))`
=`1/2[1/(x^2-1) -1/(x^+1)]`
`int 1/(x^4-1) dx`
=`1/2[int1/(x^2-1) dx -int 1/(x^2+1) dx]`
=`1/4 log|(x-1)/(x+1)| -1/2 tan^-1x +c`
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