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

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

Text Solution

Verified by Experts

The correct Answer is:
`(-x)/(x^(2)-1) +c`
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Knowledge Check

  • int(x^(2)+1)/(x^(4)-x^(2)+1)dx=

    A
    `tan^(-1)[(x)/(x^(2)-1)]+c`
    B
    `tan^(-1)[(x^(2)-1)/(x)]+c`
    C
    `-tan^(-1)[(x^(2)-1)/(x)]+c`
    D
    `-cot^(-1)[(x^(2)-1)/(x)]+c`

  • int(x^(2)-1)/(x^(4)+x^(2)+1)dx=

    A
    `(1)/(2).log((x^(2)+x+1)/(x^(2)-x+1))+c`
    B
    `(1)/(2).log((x^(2)-x+1)/(x^(2)-x+1))+c`
    C
    `log((x^(2)-x+1)/(x^(2)+x+1))+c`
    D
    `(1)/(2).log((x^(2)-x+1)/(x^(2)+x+1))+c`

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

    A
    `tan^(-1)((x^(2)+1)/(2))+c`
    B
    `tan^(-1)(x^(2))+c`
    C
    `tan^(-1)(2x^(2)-1)+c`
    D
    `tan^(-1)((x^(2)-1)/(x))+c`

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