# Math Help - problem with the integral

1. ## problem with the integral

in the picture you can see the problem with 5 answers, but i am not find any answer from this list someone can help me?

thanks

2. What ideas have you had so far?

Is this for an online test?

3. Well!... the indefinite integral is...

$\displaystyle \int \frac{dx}{x\ \ln^{2} x}$ (1)

A [easy] question: what is the derivative of $\ln x$?...

Kind regards

$\chi$ $\sigma$

4. Let,

$u=lnx \to dx=xdu$

Thus,

$\int_e^{e^2} \frac{dx}{xln^2x} \to \int \frac{du}{u^2}$

....

Moderator edit: It is best to leave things for the OP to do, especially when other members have alrady posted asking the OP to show some working.

5. yes is for an online test i have like 20 Questions to Solve in this test, till now i solved 14.

thank you all for helping me in this Question .