$\smallint \frac{{dx}}{{\left( {x + 1} \right)\,\,\sqrt {4x + 3} }}$ is equal to

$3\,{\tan ^{ - 1}}\,\,\sqrt {4x + 3} \,\, + \,\,c$

$4\,{\tan ^{ - 1}}\,\,\sqrt {4x + 3} \,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{{dx}}{{\left( {x + 1} \right)\,\,\sqrt {4x + 3} }}

is equal to

View answer and explanation

Correct option: C

2\,{\tan ^{ - 1}}\,\,\sqrt {4x + 3} \,\, + \,\,c

Option C (

2\,{\tan ^{ - 1}}\,\sqrt {4x\, + \,3} \, + \,c

) is correct because it is the result of the integration after substitution and simplification.