Q. $\int_{}^{}{\frac{f^{'}(x)}{f(x)\log{\lbrack f(x)\rbrack}}dx}$ is equal to
A) $\frac{f(x)}{\log{f(x)}} + c$
B) $f(x)\log{f(x) + c}$
C) $\log{\lbrack\log{f(x)\rbrack + c}}$
D) $\frac{1}{\log{\lbrack\log{f(x)\rbrack}}} + c$
Explanation
(c)
$\int_{}^{}{\frac{f^{'}(x)}{f(x)\log{\lbrack f(x)\rbrack}}dx} = \log{\lbrack\log{f(x)\rbrack + c}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.