The integrals below involve `sec ax`.
1) `int sec ax dx = 1/a ln(sec ax+tan ax)=1/a ln tan ((ax)/2+pi/4)`
2) `int sec^2 ax dx = (tan ax)/a`
3) `int sec^3 ax dx = (sec ax*tan ax)/(2a)+1/(2a)ln(secax+tan ax)`
4) `int sec^n ax*tan ax dx = (sec^n ax)/(na)`
5) `int 1/(sec ax) dx = (sin ax)/a`
6) `int x sec ax dx = 1/a^2{(ax)^2/2+(ax)^4/8+(5(ax)^6)/144+...+(E_n(ax)^(2n+2))/((2n+2)(2n)!)+...}`
7) `int (sec ax)/x dx = ln x+(ax)^2/4+(5(ax)^4)/96+(61(ax)^6)/4320+...+(E_n(ax)^(2n))/(2n(2n)!)+...`
8) `int x*sec^2ax dx = x/a tan ax+1/a^2 ln cos ax`
9) `int 1/(q+p sec ax) dx = x/q-p/qint 1/(p+q cos ax) dx`
10) `int sec^n ax dx = (sec^(n-2) ax tan ax)/(a(n-1))+(n-2)/(n-1)int sec^(n-2) ax dx`