Penerapan Integrasi dalam Analisis Data

library(mosaicCalc)

## Loading required package: mosaic

## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2

## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.

## 
## Attaching package: 'mosaic'

## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally

## The following object is masked from 'package:Matrix':
## 
##     mean

## The following object is masked from 'package:ggplot2':
## 
##     stat

## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var

## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum

## Loading required package: mosaicCore

## 
## Attaching package: 'mosaicCore'

## The following objects are masked from 'package:dplyr':
## 
##     count, tally

## 
## Attaching package: 'mosaicCalc'

## The following object is masked from 'package:stats':
## 
##     D

Penerapan Integrasi dalam Analisis Data

Integrasi juga memiliki peran penting dalam analisis data, terutama dalam menghitung luas di bawah kurva atau untuk menemukan nilai rata-rata dari suatu fungsi yang kontinu. Dalam R, kita bisa menggunakan integrasi untuk menghitung area di bawah kurva dari data yang diperoleh.

Contoh penggunaan integrasi untuk menghitung luas di bawah kurva:

# Mengimpor paket-paket yang diperlukan
library(pracma)

## 
## Attaching package: 'pracma'

## The following object is masked from 'package:mosaicCore':
## 
##     logit

## The following objects are masked from 'package:mosaic':
## 
##     cross, deg2rad, dot, logit, pdist, rad2deg, rand

## The following objects are masked from 'package:Matrix':
## 
##     expm, lu, tril, triu

# Definisikan fungsi yang akan diintegralkan
f <- function(x) {
  return(sin(x))
}

# Hitung integral dari fungsi f antara batas 0 dan pi
area_under_curve <- integral(f, 0, pi)
print(area_under_curve)

## [1] 2

Dalam contoh ini, kita menggunakan paket pracma dan fungsi integral untuk menghitung integral dari fungsi sinus antara batas 0 dan pi.

Referensi: Kaplan, Daniel. 2022. MOSAIC Calculus. GitHub Pages. https://dtkaplan.github.io/MC2/