[R] problem with function involving ifelse and integrate

[Faheem Mitha]

Dear R people,

There is probably a simple explanation for the following, but I have been
unable to come up with one. 

I want to integrate x(1-x)^{-1/3} over intervals of the form [0,a] where a
is between 0 and 1.

Hence, consider:

fm <- function(x) ifelse(x==0 | x==1 ,0,(x*(1-x))^(-1/3))

inbeta <- function(x)
{
 ifelse(x==0,0,integrate(fm,0,x,maxpts = NULL, eps=0.01))

}

Comments:

integrate(fm,0,x,maxpts = NULL, eps=0.01) works ok for everything I tried
it for except x = 0 for some reason, hence the ifelse above.

The problem is with inbeta. Trying inbeta(x) for any value of x other than
0 gives the error "Error in rep(no, length = length(ans)) : Unimplemented
feature in rep" For 0, of course, it returns the value 0.

I can't see anything obviously wrong with this. Can someone help to figure
it out?

Also, I was wondering what method of numerical quadrature is used for
integrate. The documentation is silent about this. Also, the error
messages for 

integrate(fm,0,0,maxpts = NULL, eps=0.01)

refers to something called lenwrk. What is this?

                                      Sincerely, Faheem Mitha.


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