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int {((log x-1))/((1+(logx)^(2)))}^(2)dx...

`int {((log x-1))/((1+(logx)^(2)))}^(2)dx=`

A

`(logx)/((log x)^(2)+1)+c`

B

`(x)/(x^(2)+1)+c`

C

`(xe^(x))/(1+x^(2))+c`

D

`(x)/((log x)^(2)+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int (log x-1)/((log x)^(2))dx=

    A
    `(x)/(log x)+c`
    B
    `(log x)/(x)+c`
    C
    `(1)/(logx)+c`
    D
    `-(1)/(logx)+c`

  • int [ (log x - 1)/(1 + (log x)^(2)) ]^(2) dx =

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

  • int(logx)/((1+ logx)^(2))dx=

    A
    `(-x)/(1+log x)+c`
    B
    `(x)/(1+log x)+c`
    C
    `(x)/(1-log x)+c`
    D
    none

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    int (1+log x)/(1+x log x)dx=

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    int e^(x)( log x+(1)/(x^(2)))dx=

    int (2)/(x[1+(logx)^(2)])dx=

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