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Show the bounds of an integral in LaTeX

  1. Feb 2, 2008 #1
    Hey I'm typing out my math homework, and I've run into some notation that I'm kind of confused about:

    I need to know how to show the bounds of an integral after you've taken the antiderivative. Kind of like this:

    Integral (bounds: 0 to 2) of x^2 = [1/3x^3] (0 to 2).

    The actual notation might look like this:

    --------|2
    1/3x^3|
    --------|0


    Sorry if I have this in the wrong forum; I didn't see any designated for LaTeX.
     
  2. jcsd
  3. Feb 2, 2008 #2

    Kurdt

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    Something like:

    [tex] \int_0^2 x^2 dx = \left[\frac{1}{3} x^3 \right]_0^2 [/tex]

    Code (Text):
    \int_0^2 x^2 dx = \left[\frac{1}{3} x^3 \right]_0^2
     
  4. Feb 2, 2008 #3
    That's exactly what I needed...

    Thanks.
     
  5. Feb 2, 2008 #4
    Okay, now I've got another question:

    What if I want to have negative bounds like this:

    \int_-3^3?

    pdflatex doesn't seem to like that very well.
     
  6. Feb 2, 2008 #5

    Kurdt

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    Bound them with curly brackets {..}. What Latex package are you using? Most come with a PDF explaining the simple operations of Latex in the source folder.
     
  7. Feb 2, 2008 #6
    Compound expressions should be enclosed in curly braces:

    \int_{-3}^3 dx

    Also, as an alternate answer to your original question, if you just want a long vertical bar try \bigg|

    For example,

    [tex]\int_{-3}^3 dx = x \bigg|_{-3}^3 = 3 - (-3) = 6[/tex]

    (if you think \bigg| looks too big you can drop down a size with \big| )
     
  8. Feb 2, 2008 #7
  9. Feb 3, 2008 #8

    CompuChip

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    and if you have an expression which is tall enough of itself, you may just want to use left and right;
    [tex]\int_{-3}^3 x^2 dx = \left. \frac{1}{3} x^3 \right|_{-3}^3 = \cdots [/tex]
    (note the use of the \left. - otherwise LaTeX will complain!)
     
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