[R] integrate a fuction

[santiagorf]

I'm having a function of the form

1> f<-function(x){
1+ 
1+    return(x^p)
1+ 
1+ }

,and I would like to integrate it with respect to x, where p should be any
constant.

One way would be to set a value for p globally and then call integrate
function: 
p=2
integrate(f, lower = -1, upper = 1)

However, I would like to use 'integrate' inside a function, so I  could call
it passing p as a parameter. I tried something like this:

1> p=1
1> integral<-function(p){
1+    integrate(f, lower = -1, upper = 1)
1+ 
1+ }
1> 
1> integral(2)
0 with absolute error < 1.1e-14

,but it doesn't work as the integral of f is evaluated with p=1 (the value
of the global variable p) and not with the value of p=2 when the function
integral is called.

Does anyone knows how can I solve this problem?
Thanks in advance
santiagorf



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