$\smallint \,\,\frac{{\log \,\,\sqrt x }}{{3x}}\,\,\;dx$is equal to

$\frac{2}{3}\,\,{\left( {\log \,\,\,\sqrt x } \right)^2} + c$

$\frac{2}{3}\,\,{\left( {\log \,\,x} \right)^2} + \,\,c$

$\frac{1}{3}\,\,{\left( {\log \,\,x} \right)^2} + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \,\,\frac{{\log \,\,\sqrt x }}{{3x}}\,\,\;dx

is equal to

View answer and explanation

Correct option: A

\frac{1}{3}\,\,{\left( {\log \,\,\,\sqrt x } \right)^2} + c

Option A (

\frac{1}{3}\,{\left( {\log \,\,\sqrt x } \right)^2} + c

) is correct because it results from direct integration after substitution.