Sec(x) derivative and integral | What is the 1/cosx integral and derivative? (secantx)

Hello everyone. In this article, we will tell you the derivative and integral of sec(x). We wish you good work.

sec derivative and integral

Sec(x) Derivative

$sec(x)=\frac{1}{cosx}$

$\frac{d}{dx}secx=\frac{d}{dx}\frac{1}{cos(x)}=\frac{0.cosx-(-sinx).1}{cos^2x}=\frac{sinx}{cos^2x}$

Answer : $\frac{sinx}{cos^2x}$

Sec(x) Integral

$\int{sec(x)}=ln|sec(x)+tan(x)|$

Answer : $ln|sec(x)+tan(x)$