>> L=legendre(5)

L =

    7.8750         0   -8.7500         0    1.8750         0


>> P=polinom(5,3)

P =

 -472.5000         0  525.0000         0  -52.5000

>> I = integral(5,3,1e-4)

I =

   77.0221


Provera:
>> quad(@(x) polyval(P,x).*exp(x), -1,1)

ans =

   77.0222