Show the bounds of an integral in LaTeX

1. Feb 2, 2008

kentm

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. Feb 2, 2008

Kurdt

Staff Emeritus
Something like:

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

Code (Text):
\int_0^2 x^2 dx = \left[\frac{1}{3} x^3 \right]_0^2

3. Feb 2, 2008

kentm

That's exactly what I needed...

Thanks.

4. Feb 2, 2008

kentm

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.

5. Feb 2, 2008

Kurdt

Staff Emeritus
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.

6. Feb 2, 2008

Larne

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,

$$\int_{-3}^3 dx = x \bigg|_{-3}^3 = 3 - (-3) = 6$$

(if you think \bigg| looks too big you can drop down a size with \big| )

7. Feb 2, 2008

8. Feb 3, 2008

CompuChip

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