Question

indifinite integral of 1/(2cos^2(x))

Answer 1

\[\Large\bf\sf \color{royalblue}{\cos x\quad=\quad \frac{1}{\sec x}}\]

Answer 2

1/cosx=secx
\[\int\limits_{}^{} \frac{ \sec ^{2} x}{ 2 } *dx\]

Answer 3

\[\frac{ d(tanx) }{ dx }=\sec ^{2}x\]

Answer 4

\[\int\limits_{}^{} \frac{ d(tanx) }{ dx }*dx\]

Answer 5

now solve it