defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Indefinite Integrals
Find the value of f(x) when \(\rm f(x)=\int_{0}^{x} \frac{dt}{t^{2}+9}\)
1
\(\rm\frac{1}{3}tan^{-1}\frac{x}{3}\)
2
\(\rm\frac{1}{9}tan^{-1}\frac{x}{9}\)
3
\(\rm tan^{-1}\frac{x}{3}\)
4
\(\rm tan^{-1}\frac{x}{9}\)