1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integrating 1/sin*|sin|

  1. Feb 7, 2010 #1
    1. The problem statement, all variables and given/known data

    I need to solve the integral

    [tex]\int \frac{dx}{\sin{x} |\sin{x}|}.[/tex]

    2. Relevant equations


    3. The attempt at a solution

    I know it's possible, the solution is [tex]-\frac{\cos{x} |\sin{x}|}{\sin^2{x}}[/tex], and I probably need to write the absolute as the square root of a square. I also probably need a substitution to simplify. I'm not having any luck finding such a substitution, however.
  2. jcsd
  3. Feb 7, 2010 #2


    User Avatar
    Homework Helper

    Integrate it for sinx>0, then for sinx<0. Compare.
  4. Feb 8, 2010 #3
    That worked perfectly. Thanks. I suppose that's the usual way to tackle an integral over an absolute value?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook