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Evalute: int((1+logx)^2)/(x)dx...

Evalute: `int((1+logx)^2)/(x)dx`

Text Solution

Verified by Experts

The correct Answer is:
`((1+logx)^(3))/(3)+c`
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Evaluate : int((logx)^(2))/(x)dx.

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Knowledge Check

  • int (x+1)^(2)e^(x)dx =

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

  • inte^((1/x))/x^(2)dx =

    A
    `e^(1/x)+c`
    B
    `-e^(1/x)+c`
    C
    `1/4 e^(1/x)+c`
    D
    none of these

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