defence exam Agniveer Army Technical Mock Test Series 2025 Mathematics Integral Calculus Indefinite Integrals
What is \(\rm \smallint \frac{{dx}}{{\sqrt {4 + {x^2}} }}\) equal to?
where c is an arbitrary constant.
1
\(\rm \ln \left| {\sqrt {4 + {x^2}} + x} \right| + c\)
2
\(\rm \ln \left| {\sqrt {4 + {x^2}} - x} \right| + c\)
3
\(\rm {\sin ^{ - 1}}\left( {\frac{x}{2}} \right) + c\)
4
None of the above