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

Evaluate: `int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx`

Text Solution

Verified by Experts

`int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))dx`
`=>divide by `x^2`
`int(1/(x^2)+1)/((1/x-x)(sqrt(1/x^2+1+x^2))`
let `x-1/x=u`
so,`(1+1/(x^2))dx=du`
...
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