Results 1 to 3 of 3

Math Help - integration with modulus

  1. #1
    Member helloying's Avatar
    Joined
    Jul 2008
    Posts
    177

    integration with modulus

    Find the exact ans:
    \int_{-1}^1 modulus: e^{2x} - e^{-2(x-1)} dx

    the solution given was to be

    \int_{-1}^{0.5} e^{2x} - e^{-2(x-1)} dx + \int_{0.5}^1 {e^{2x}-e^{-2(x-1)} dx

    I dont understand why there is a need to do this. Why cant we integrate directly? Why is it 0.5?

    Sorry i didnt why Latex couldnt work. i tried a lot of times
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Nov 2009
    Posts
    177
    Hint: Where is
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2010
    From
    Mumbai
    Posts
    91
    Thanks
    2
    Quote Originally Posted by helloying View Post
    Find the exact ans:
    \int_{-1}^1\mid{e^{2x} - e^{-2(x-1)}\mid} dx

    the solution given was to be

    \int_{-1}^{0.5} e^{2x} - e^{-2(x-1)} dx + \int_{0.5}^1 {e^{2x}-e^{-2(x-1)} dx

    I dont understand why there is a need to do this. Why cant we integrate directly? Why is it 0.5?

    Sorry i didnt why Latex couldnt work. i tried a lot of times
    because, the resultant value which you get by corresponding x value might be positive or negative. so you seperate integral for positive intigral values and negative intigral values.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Modulus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: November 5th 2009, 04:46 AM
  2. modulus
    Posted in the Calculators Forum
    Replies: 0
    Last Post: August 14th 2009, 02:07 AM
  3. Modulus
    Posted in the LaTeX Help Forum
    Replies: 2
    Last Post: June 29th 2009, 10:02 AM
  4. modulus
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 13th 2009, 06:32 AM
  5. modulus
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 19th 2008, 09:45 AM

Search Tags


/mathhelpforum @mathhelpforum