What is \int\tan^{-1}(\secx+\tanx)dx equal to ? [NDA II 2017]

\frac{\pix}{4}+ \frac{x^{2}}{4}+c

\frac{\pix}{2}+ \frac{x^{2}}{4}+c

\frac{\pi{x}}{4}+ {\pi{x}^{2}}/{4}+{c}

\frac{\pix}{4}- \frac{x^{2}}{4}+c

NDA Math Indefinite Integrals

Question : 23 of 38

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What is ∫tan−1(secx+tanx)dx equal to ?

[NDA II 2017]

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