February 20, 2011

(This article was first published on Xi'an's Og » R, and kindly contributed to R-bloggers)

Here is an email sent by one of my students a few days ago:

Do you know how to integrate a function with an  “if”?
For instance:
+   return(sum(X +}

does not work.

My reply was that the fundamental reason it does not work is that integrate (or curve for instance) computes the function in several points of a grid by calling the function on a vector x and the comparison X


the function can be integrated

> integrate(Femp,-2,2)
1.877735 with absolute error < 5.6e-05

However, this kind of syntactic gymnastic can be avoided by a simple call to Vectorize.

   return(sum(X integrate(Vectorize(Femp),-2,2)
1.877735 with absolute error < 5.6e-05

Filed under: R, Statistics Tagged: integrate, R, Vectorize

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