The value of $\smallint \,\,\frac{{2\,\,dx}}{{\sqrt {1\,\, - \,\,4{x^2}} }}$ is

${\tan ^{ - 1}}\,\,\left( {2x} \right)\,\, + \,\,c$

${\cot ^{ - 1}}\,\,\left( {2x} \right)\,\, + \,\,c$

${\cos ^{ - 1}}\,\,\left( {2x} \right)\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \,\,\frac{{2\,\,dx}}{{\sqrt {1\,\, - \,\,4{x^2}} }}

View answer and explanation

Correct option: D

{\sin ^{ - 1}}\,\,\left( {2x} \right)\,\, + \,\,c

Option D (

{\sin ^{ - 1}}\,\,\left( {2x} \right)\, + \,c

) is correct because it is the direct result of integrating the given expression.