# Is there any way to have a "tall bar" with upper and lower limit values, such as used after integrations?

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One formatting thing I'm still curious about and haven't sussed out through examining things on my own is if there's any way to add a "tall bar" to the end of a line, with a superscript and a subscript. I'm envisioning something seen after doing a definite integral, where many authors often put a tall vertical bar at the end of the expression with the limits of integration attached to that bar. Usually that vertical bar extends a bit over the top of the line and a little under the line.

The closest I have come up with so far is using the pipe symbol - which does extend about the height I'd want, but as soon as I attach the limits with ^ and _, it immediately shrinks down to regular height, which crams together the limits.

For instance:

*without hashtags*

int_0^2 x^2 dx = x^3/3 |

*with hashtags*

#int_0^2 x^2 dx = x^3/3 |#

*without hashtags*

int_0^2 x^2 dx = x^3/3 |_0^2

*with hashtags*

#int_0^2 x^2 dx = x^3/3 |_0^2 #

Any suggestions?

One formatting thing I'm still curious about and haven't sussed out through examining things on my own is if there's any way to add a "tall bar" to the end of a line, with a superscript and a subscript. I'm envisioning something seen after doing a definite integral, where many authors often put a tall vertical bar at the end of the expression with the limits of integration attached to that bar. Usually that vertical bar extends a bit over the top of the line and a little under the line.

The closest I have come up with so far is using the pipe symbol - which does extend about the height I'd want, but as soon as I attach the limits with ^ and _, it immediately shrinks down to regular height, which crams together the limits.

For instance:

*without hashtags*

int_0^2 x^2 dx = x^3/3 |

*with hashtags*

*without hashtags*

int_0^2 x^2 dx = x^3/3 |_0^2

*with hashtags*

Any suggestions?

##### 2 Answers

Yes, but it's (kinda) tedious.

#### Explanation:

An easy way to bypass that problem is to use right brackets instead of a vertical bar.

So, for example, you can write something like this

without hashtagsint_0^2 x^2 dx = [x^3/3 ]_0^2

with hashtags

#int_0^2 x^2 dx = [x^3/3 ] _0^2#

Not ideal, not by a long shot, but you can use it to get the point across. In fact, I think that most contributors use this technique when posting answers on definite integrals.

Now, we do have a way--or possibly more--of adding lower and upper values to a vertical bar, but it takes a bit of creativity and the result is far from perfect.

The idea is that you add the value you want as the **lower limit** as a fraction with an **invisible numerator** and an **invisible fraction bar**.

In your case, you'd have--for illustration purposes, I'll use color(red)() instead of color(white)()

without hashtagscolor(red)(a/color(black)(0))

with hashtags

#color(red)(a/color(black)(0))#

Notice that the numerator **and** the fraction bar are invisible here.

The same principle applies to the value that you want as the **upper limit**, only this time, you need a fraction with an **invisible denominator** and an **invisible fraction bar**.

without hashtagscolor(red)(color(black)(2)/0)

with hashtags

#color(red)(color(black)(2)/0)#

If you combine the two fractions, you'll get

without hashtagsint_ 0^2 x^2 dx = x^3/3 |_(color(red)(a/color(black)(0)))^(color(red)(color(black)(2)/a))

with hashtags

#int_ 0^2 x^2 dx = x^3/3 |_(color(red)(a/color(black)(0)))^(color(red)(color(black)(2)/a))#

As you can see, the two limits are a little further apart.

Using color(white)() instead of color(red)() for full effect

without hashtagsint_ 0^2 x^2 dx = x^3/3 |_(color(white)(a/color(black)(0)))^(color(white)(color(black)(2)/a))

with hashtags

#int_ 0^2 x^2 dx = x^3/3 |_(color(white)(a/color(black)(0)))^(color(white)(color(black)(2)/a))#

As I said, the result is far from perfect--notice that the integration limits were reduced in size because the two fractions must fit the height of the vertical bar--but I'd say that this technique gets the job done :D

If you want, you can experiment with this technique to get the two values even further apart by using more fractions, but that would only make the process more tedious + the results are not going to be that great.

Got it!

#### Explanation:

Used {:x^3/3|:}_0^2

hash left brace colon expression veritical pipe colon right brace subscript 0 superscript 2