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Evaluate: int1/(x^4-1)dx...

Evaluate: `int1/(x^4-1)dx`

Text Solution

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Let
` I=int 1 /(x^{4}-1) d x`
{ Let, } `frac{1}{(x^{4}-1)}=frac{A}{x+1}+frac{B}{x-1}+frac{C}{x^{2}+1} `
`implies 1=A(x-1)(x^{2}+1)+B(x+1)(x^{2}+1)+C(x+1)(x-1)`
...
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