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int (x^2+1)/(x^4+1) dx...

`int (x^2+1)/(x^4+1) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(2))tan^(-1){(1)/(sqrt(2))(x-(1)/(x))}+C`
Divide num. and denom. By `x^(2).Put(x-(1)/(x))=t`.
`:.I=int(dt)/({t^(2)+(sqrt(2))^(2)})`.
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