Calculate. $$\int \frac{d x}{x(\ln x)^{2}}$$
Added by Juan Francisco L.
Step 1
Let's substitute $u = \ln x$. Then, $du = \frac{1}{x} dx$. Now, let's rewrite the integral in terms of $u$: $$\int \frac{dx}{x(\ln x)^{2}} = \int \frac{du}{u^{2}}$$ This new integral is much easier to solve. We can rewrite it as: $$\int \frac{du}{u^{2}} = Show more…
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