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int(1)/(xlogx)dx...

`int(1)/(xlogx)dx`

Text Solution

Verified by Experts

The correct Answer is:
`log|logx|+C`
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Knowledge Check

  • int(1)/(xlogx(2+logx))dx=

    A
    `(1)/(2)log|(2+logx)/(logx)|+c`
    B
    `(1)/(2)log|(logx)/(2+logx)|+c`
    C
    `(1)/(4)log|(2+logx)/(logx)|+c`
    D
    `(1)/(4)log|(logx)/(2+logx)|+c`

  • If int(dx)/(xlogx)=f(x)+ constant, then f(x) is equal to

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

  • int(1)/(1+cosx)dx=

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

    • Similar Questions

    Explore conceptually related problems

    Evaluate each of the following integral: int_e^(e^2)1/(xlogx)dx

    int(log(logx))/(x.logx)dx=

    The vaue of int_(0)^(1)xlogx dx must be

    inte^(x)((1+xlogx)/(x))dx=?

    int(e^(x)(1+xlogx))/(x)dx=

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