 Senior author, Open Source enthusiast.
Tuesday, January 31, 2017 at 21:46

# LibreOffice Math: Integral Formula Examples

This article provides LibreOffice Math users some examples of integral formulas. These are 10 examples of integral expressions, each with the code you can execute in both LibreOffice Math and Writer. I hope by this article, anyone in schools or universities can use LibreOffice to write any mathematical document without using nonfree software.

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## Using Math Code in Writer

These codes are written in LibreOffice Math's language. But each of them can be written in LibreOffice Writer document. So you can make for example a math exam document in Writer composed from these integrals examples. To do so, just copy any code into document > block the code > visit menu Insert > Object > Formula. See picture below.

## Example 1

Picture:

Code:

int from{a} to{b} f( x ) d

Picture:

Code:

int f( x ) dx

## Example 3

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Code:

F(x) = int f( x ) dx

## Example 4

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Code:

int from{ a } to { b } f( x ) dx = F( b ) - F( a )

## Example 5

Picture:

Code:

int from{ 0 } to{ 1 } {{ 3 dx }over{ x^2 + 1 }}

## Example 6

Picture:

Code:

int from{ 0 } to{ 1 } sqrt{x} dx

## Example 7

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Code:

int from{ E } lline f rline d %mu < +infinity

## Example 8

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Code:

int from{ E } f d %mu = int from{ E } f^+ nospace{} d  %mu - int from{ E } f^- nospace{  } d %mu

## Example 9

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Code:

binom{ f^+ nospace{} ( x ) = max( \{ f(x),0\} ) }{ f^- nospace{} (x) = max (\{-f(x),0\}) }

## Example 10

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Code:

int from{ a } to{ b } ( %alpha f + %beta g) ( x ) dx = %alpha int from{ a } to { b } f( x ) dx + %beta int from{ a } to{ b } g( x ) dx.

## Reference

https://en.wikipedia.org/wiki/Integral