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

How do you deal with absolute values in your Integrals?

  1. Mar 17, 2005 #1
    I have to solve the integral:

    [tex]\int^1_{-1} e^{-| |x| - \frac{1}{4} |} dx[/tex]

    but I have no idea what to do with the absolute value signs. Can someone help me? :confused:
     
  2. jcsd
  3. Mar 17, 2005 #2
    When is [tex]x < 0[/tex]? When is [tex]|x|-1/4 <0[/tex]? Split up the integral as is appropriate. For example,

    [tex]\int_{-5}^5 e^{|x|} \ dx = 2\int_0^5 e^x \ dx[/tex]

    [tex] \int_0^5 |x-4| \ dx = \int_0^4 4-x \ dx + \int_4^5 x-4 \ dx[/tex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: How do you deal with absolute values in your Integrals?
Loading...