Which substitution is most appropriate for simplifying the integral ?

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Which substitution is most appropriate for simplifying the integral

\displaystyle\int \frac{\ln x}{x}\,dx

? (a)

u = x\,\ln x

(b)

u = \ln(\ln x)

(c)

u = \ln x

(d)

u = \dfrac{1}{x}