# Integrate Function in R (Example) | Using integrate() to Compute Integral

This tutorial illustrates how to **integrate a user-defined function using integrate()** in R.

Table of contents:

Let’s do this…

## Constructing Example Function

The following manually defined function is used as basement for this R programming tutorial:

my_function <- function(x) { # Create own function out <- 2 * x + x^2 + 5 * x^3 } |

my_function <- function(x) { # Create own function out <- 2 * x + x^2 + 5 * x^3 }

## Example: Applying integrate() to User-Defined Function

This Example shows how to compute the integral of a function using the integrate() command of the R programming language. For this, we need to specify the name of our function, a lower limit, and an upper limit:

integrate(my_function, # Apply integrate in R lower = 0, upper = 10) # 12933.33 with absolute error < 1.4e-10 |

integrate(my_function, # Apply integrate in R lower = 0, upper = 10) # 12933.33 with absolute error < 1.4e-10

The RStudio console returns the result: 12933.33 with absolute error Video & Further Resources

I have recently published a video on my YouTube channel, which illustrates the examples of this tutorial. You can find the video below.

*The YouTube video will be added soon.*

In addition, you might want to have a look at the other tutorials of my website. Please find some other articles below.

In this article you learned how to **apply the integrate function** in R. In case you have any further questions, don’t hesitate to let me know in the comments section.

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