library(mosaicCalc)
## Loading required package: mosaicCore
## Loading required package: Deriv
## Loading required package: Ryacas
## 
## Attaching package: 'Ryacas'
## The following object is masked from 'package:stats':
## 
##     integrate
## The following objects are masked from 'package:base':
## 
##     %*%, diag, diag<-, lower.tri, upper.tri
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D
f <- makeFun( A * x ^  2 ~ x, A = 0.5)
f(1)
## [1] 0.5
library(mosaicCalc)
slice_plot(f(x) ~ x, domain(x = -1:1)) %>%
  gf_labs(title = "Original function f(x)")

8.1 Anti-turunan

h <- antiD( f(x) ~ x )
dh <- D(h(x) ~ x )
dh(1)
## [1] 0.5

8.2 Satu variabel menjadi dua argumen

library(mosaicCalc)
f1 <- makeFun(sin(x ^ 2) ~ x)
f2 <- makeFun(sin(x ^ 2)  +  3 ~ x)
f3 <- makeFun(sin(x ^ 2)  -  100 ~ x)
f1(1)
## [1] 0.841471

8.3 Integral

antiD(f(x) ~ x)
## function (x, C = 0) 
## {
##     numerical_integration(.newf, .wrt, as.list(match.call())[-1], 
##         formals(), from, ciName = intC, .tol)
## }
## <environment: 0x000002cc26f62a28>
antiD(df(x) ~ x)
## function (x, C = 0) 
## {
##     numerical_integration(.newf, .wrt, as.list(match.call())[-1], 
##         formals(), from, ciName = intC, .tol)
## }
## <environment: 0x000002cc270a9850>
fun = antiD( x^2 ~ x )
fun
## function (x, C = 0) 
## x^3/3 + C
# This doesn't exist yet. FIX FIX FIX
fun(x = 2) - fun(x = -1)
## [1] 3

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