Latex for limit specitied in result of integral

In summary, when integrating $f'(x)$ from $x=a$ to $b$, the output should be $f(x)$ within square brackets with a subscript $a$ and a superscript $b$, and the limit on the right. This can be written in LaTeX using the code $\bigl[f(x)\bigr]_a^b$ or $\left[\frac{x^5}{5}\right]\Bigg|_{a}^{b}$.
  • #1
kaliprasad
Gold Member
MHB
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When we integrate $f'(x)$ we get $f(x)$ and say we integrate from x = a to b

in the output we write f(x) within square brackets and limit on the right.

how do I write in latex

thanks in advance.
 
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  • #2
kaliprasad said:
When we integrate $f'(x)$ we get $f(x)$ and say we integrate from x = a to b

in the output we write f(x) within square brackets and limit on the right.

how do I write in latex

thanks in advance.
Just put a subscript $a$ and a superscript $b$ after the closing bracket: $\bigl[f(x)\bigr]_a^b$ gives $\bigl[\,f(x)\bigr]_a^b$ .
 
  • #3
I usually write
$$\int_{a}^{b}f'(x) \, dx=[f(x)]|_{a}^{b},$$
produced by the code
Code:
\int_{a}^{b}f'(x) \, dx=[f(x)]|_{a}^{b}
But if you have taller expressions, you might need to "bigify" the vertical line thus:
$$\int_{0}^{5}x^4 \, dx=\left[\frac{x^5}{5}\right]\Bigg|_{0}^{5},$$
produced by
Code:
\int_{0}^{5}x^4 \, dx=\left[\frac{x^5}{5}\right]\Bigg|_{0}^{5}
 
  • #4
Opalg and Ackbach thanks to both of you for quick response
 

What is Latex?

Latex is a typesetting language used for creating professional-looking documents, especially in the fields of mathematics, science, and engineering.

What is a limit specified in the result of an integral?

A limit specified in the result of an integral is the value that the integral approaches as the independent variable approaches a certain value. It is often used to find the area under a curve or the volume of a three-dimensional shape.

How is Latex used in displaying limits in integrals?

Latex is used to display limits in integrals by using the \lim command followed by the limit value and the independent variable. For example, \lim_{x\to\infty} would display the limit as x approaches infinity.

Why is Latex commonly used for displaying mathematical equations and formulas?

Latex is commonly used for displaying mathematical equations and formulas because it allows for precise and consistent typesetting, making it easier to read and understand complex mathematical expressions. It also has a wide range of symbols and commands for various mathematical operations.

Is Latex difficult to learn and use?

Learning Latex can be challenging at first, but with practice and patience, it can become a useful tool for creating professional-looking documents. There are also many online resources and tutorials available to help beginners learn Latex.

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