I received the solution...

Hi:

This is what David means:

f <- function(x, p) x^p

integrate(f, lower = -1, upper = 1, p = 2)
0.6666667 with absolute error < 7.4e-15
integrate(f, lower = -1, upper = 1, p = 3)
0 with absolute error < 5.6e-15                 # this is correct

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