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int[ln(lnx)+1/((lnx)^2)]dx...

`int[ln(lnx)+1/((lnx)^2)]dx`

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int((lnx-1)/((lnx)^(2)+1))^2dx is equal to

Evaluate: int(ln(lnx))/(xlnx)dx ,(x >0)

Knowledge Check

  • int((lnx-1)/((lnx)^(2)+1))dx is equal to

    A
    `(x)/(x^(2)+1)+C`
    B
    `(lnx)/((lnx)^(2)+1)`
    C
    `(x)/((lnx)^(2)+1)+C`
    D
    `e^(x)((x)/(x^(2)+1))+C`

  • int(lnx)^(-1)dx-int(lnx)^(-2) dx is equal to

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

    • Similar Questions

    Explore conceptually related problems

    Evaluate: int(ln(lnx))/(xlnx)dx ,(x >0)

    Evaluate the following int(ln(lnx))/(x lnx)dx,(xgt0)

    int {((lnx-1))/(1+(lnx)^2)}^2 dx is equal to

    Evaluate : (i) int_(0)^(1)sin^(-1)xdx , (ii) int_(1)^(2)(lnx)/(x^(2))dx , (iii) int_(0)^(1)x^(2)sin^(-1)xdx .

    Evaluate : (i) int_(0)^(1)sin^(-1)xdx , (ii) int_(1)^(2)(lnx)/(x^(2))dx , (iii) int_(0)^(1)x^(2)sin^(-1)xdx .

    Evaluate : (i) int_(0)^(1)sin^(-1)xdx , (ii) int_(1)^(2)(lnx)/(x^(2))dx , (iii) int_(0)^(1)x^(2)sin^(-1)xdx .

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