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(1)/(x-x^(3))...

`(1)/(x-x^(3))`

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tan^(-1)((3x-x^(3))/(1-3x^(2)))

If x+ (1)/(x)=3 , then x^(3) + (1)/(x^(3)) =?

Knowledge Check

  • int(1)/(x(1+x^(3)))dx=

    A
    `log((1+x^(3))/(x^(3)))+c`
    B
    `log((x^(3))/(1+x^(3)))+c`
    C
    `(1)/(3)log((x^(3))/(1+x^(3)))+c`
    D
    `3log((x^(3))/(1+x^(3)))+c`

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    int_(0)^(1)tan^(-1)((3x-x^(3))/(1-3x^(2)))dx

    (x^(3))/(1+x^(3))+(x^(3))/((1+x^(3))^(2))+(x^(3))/ ((1+x^(3))^(3))+......... oo

    If x+(1)/(x)=3, calcuate x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)) and x^(4)+(1)/(x^(4))

    If x_(1)x_(1)x_(3)=4(4+x_(1)+x_(2)+x_(3)) then what is the value of [(1)/(2+x_(1))]+[(1)/(2+x_(2))]+[(1)/(2+x_(3))]?

    Find value of (x+(1)/(x))^(3)+(x^(2)+(1)/(x^(2)))^(3)+"........"+(x^(n)+(1)/(x^(n)))^(3) .

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