Question

evaluate the question​

Answer 1

$\int \frac{ { \sec(x) }^{2} }{ \sqrt{ { \tan(x) }^{2} + 3 } } dx$

let tanx = t

differentiating with respect to X we get

sec^2x dx = dt

$\int \frac{1}{ \sqrt{ {t}^{2} + 4} } dt \\ ln(t + \sqrt{ {t}^{2} + {2}^{2} } ) +c$

$ln( \tan(x) + \sqrt{ {x}^{2} + { \tan(x) }^{2} } ) + c$