defence exam Agniveer Army Technical Mock Test Series 2025 Mathematics Integral Calculus Definite Integrals
What is \(\rm \mathop \smallint \limits_0^1 \frac{{{e^{{{\tan }^{ - 1}}x}}dx}}{{1 + {x^2}}}\) equal to ?
1
\({e^{\frac{\pi }{4}}} - 1\)
2
\({e^{\frac{\pi }{4}}} + 1\)
3
e – 1
4
e