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

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(4)log|(x-1)/(x+1)|-(1)/(2)"tan"^(-1)x+C`
`int(1)/(x^(4)-1)dx=int(1)/((x^(2)+1)(x^(2)-1))dx`
`=(1)/(2)int((1)/(x^(2)-1)-(1)/(x^(2)+1))dx `
`=(1)/(4)log|(x-1)/(x+1)|-(1)/(2)"tan"^(-1)x+C`
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