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Bab 8 Integral dan integrasi Anda telah melihat operator kalkulus dasar, diferensiasi, yang diimplementasikan oleh mosaicCalcfungsi R/ D(). Operator diferensiasi mengambil sebagai input fungsi dan variabel “sehubungan dengan”. Outputnya adalah fungsi lain yang memiliki variabel “sehubungan dengan” sebagai argumen, dan kemungkinan argumen lain juga.

library(mosaic)
library(mosaicCalc)
f
df
antiD(f(x) ~ x)
antiD(df(x) ~ x)

8.3.1.1 Latihan 1 Tentukan nilai numerik dari setiap integral tertentu berikut. MENJAWAB:

f = integral(exp(2*x) ~ x)
f(from=1,to=4)
f = integral(exp(abs(2*x)) ~ x)
f(from=-2,to=2)

8.3.1.2 Latihan 2 8.3.1.3 Latihan 3

gaussian <- 
  makeFun((1/sqrt(2*pi*sigma^2)) * 
            exp( -(x-mean)^2/(2*sigma^2)) ~ x,
          mean=2, sigma=2.5)
slice_plot(gaussian(x) ~ x, domain(x = -5:10)) %>%
  slice_plot(gaussian(x, mean=0, sigma=1) ~ x, color="red")
erf <- antiD(gaussian(x, mean=m, sigma=s) ~ x)
erf
erf(x = 1, m=0, s=1) - erf(x = 0, m=0, s=1)
erf(x = 2, m=0, s=1) - erf(x = 0, m=0, s=1)
erf(x = 0, m=0, s=2) - erf(x = 2, m=0, s=2)
erf(x = -Inf, m=3, s=10) - erf(x = 3, m=3, s=10)
erf(x = Inf, m=3, s=10) - erf(x = -Inf, m=3, s=10)

Daftar Pustaka : https://dtkaplan.github.io/RforCalculus/integrals-and-integration.html#the-integral