∫ (log x)/(log ex)^2 . dx =

Question

\(\int \frac{log\, x}{(log\,ex)^2}.dx =\)

∫ (log x)/(log ex)². dx =

(a) \(\frac{x}{1 + log\,x} + c\)

(b) x(1 + log x) + c

(c) \(\frac{1}{1 + log\,x} + c\)

(d) \(\frac{1}{1 - log\,x} + c\)

Answer 1

Correct answer is (a) \(\frac{x}{1 + log\,x} + c\)