you could use package distrEx:

library(distrEx)
GLIntegrate(function(x) x^2, lower = -1, upper = 1, order = 50)

hth
Matthias

On 01.05.2014 09:43, pari hesabi wrote:
Hello everybody
I need to approximate the amount of integral by using
  legendre quadrature. I have written a program which doesn't give me a
logical answer; Can anybody help me and send the correct program? For
example  the approximated amount of integral of ( x ^2)  on (-1,1) based
  on legendre quad rule.




integrand<-function(x) {x^2}
rules <- legendre.quadrature.rules( 50 )
order.rule <- rules[[50]]
chebyshev.c.quadrature(integrand, order.rule, lower = -1, upper = 1)

Thank you
Diba                                                                            
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