You should solve the given improper integral such that:

`int_2^oo 1/(x*(ln x)^p)dx = lim_(n->oo) int_2^n 1/(x*(ln x)^p)dx`

You need to solve the indefinite integral `int 1/(x*(ln x)^p)dx` using the substitution `ln x = t` such that:

`ln x = t => 1/x dx = dt`

Changing the variable yields:

`int 1/(x*(ln x)^p)dx = int (dt)/(t^p)`

Using the property of negative power yields:

`1/t^p =...

(The entire section contains 234 words.)

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