Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integral of sec x

  1. Aug 8, 2004 #1
    I know the integral of sec x is


    but how would you do it? I tried all the techniques and tricks I've learnt and nothing came up.
  2. jcsd
  3. Aug 9, 2004 #2


    User Avatar
    Science Advisor
    Homework Helper

    Did you try multiplying by 1?

    [tex]sec(x)=\displaystyle sec(x)\frac{sec(x)+tan(x)}{tan(x)+sec(x)}=\displaystyle\frac{sec^{2}(x)+sec(x)tan(x)}{tan(x)+sec(x)}[/tex]. Your integral is now of the form [tex]\displaystyle\frac{f'(x)}{f(x)}[/tex], easy to handle.
  4. Aug 9, 2004 #3
    Yup. shmoe's method is the easiest one to remember.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook