Tích phân hàm số toán secant

$\int \sec axdx=\frac{1}{a}\ln |\sec ax+\tan ax|+C$

$\int {\sec }^{n}axdx=\frac{{\sec }^{n-1}ax\sin ax}{a(n-1)}+\frac{n-2}{n-1}\int {\sec }^{n-2}axdx\text{ (for }n\ne 1\text{)}$

$\int {\sec }^{n}xdx=\frac{{\sec }^{n-2}x\tan x}{n-1}+\frac{n-2}{n-1}\int {\sec }^{n-2}xdx$

$\int \frac{dx}{\sec x+1}=x-\tan \frac{x}{2}+C$