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

UPSC NDA 2 2017 Mathematics Solved Paper

Question : 67 of 120

Marks: +1, -0

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

[NDA II 2017]

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