Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Integral Calculus

What is ∫ tan-1 (sec x + tan x) dx equal to?

1
\(\frac{{\pi x}}{4} + \frac{{{x^2}}}{4} + c\)
2
\(\frac{{\pi x}}{2} + \frac{{{x^2}}}{4} + c\)
3
\(\frac{{\pi x}}{4} + \frac{{\pi {x^2}}}{4} + c\)
4
\(\frac{{\pi x}}{4} - \frac{{{x^2}}}{4} + c\)
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