Evaluate the following integrals: ∫ {1/log x - 1/(log x)^2} dx

Question

Evaluate the following integrals:

\(\int \left \{\frac{1}{log\,x} - \frac{1}{(log\,x)^2}\right \}dx\)

∫ {1/log x - 1/(log x)²} dx

Answer 1

Let us assume log x = t

X = e^t

dx = e^tdt

Now we have

By the integral property of

So the solution of the integral is