Evaluate : int(logx)^(2)dx....

Evaluate : `int(logx)^(2)dx`.

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To evaluate the integral \( \int (\log x)^2 \, dx \), we can use integration by parts. Let's go through the solution step by step. ### Step 1: Choose \( u \) and \( dv \) We will use the integration by parts formula: \[ \int u \, dv = uv - \int v \, du \] Let: ...

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int(logx)/(x^(2))dx=?

`-(1)/(x)(logx+1)+C`

`(1)/(x)(logx-1)+C`

`(1)/(x)(logx+1)+C`

none of these

int(logx)/x^2dx =

`1/x(logx+1)`

`-1/x (log x+1)`

`1/x (log x-1)`

`log (x+1)`

int(logx)/(x)dx=?

`(1)/(2)(logx)^(2)+C`

`-(1)/(2)(logx)^(2)+C`

`(2)/(x^(2))+C`

`(-2)/(x^(2))+C`