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Integral of a sum

Dear all, I don't understand why I got Infinity calculating the integral of a polynomial over the interval [0,1]:

sage: assume(N>0) sage: t = var('t') sage: g(t) = sum(t^(8*n),n,0,N) sage: integral(g(t),t,0,1) +Infinity

Integral of a sum

Dear all, I don't understand why I got Infinity Infinity calculating the integral of a polynomial over the interval [0,1]:

sage: assume(N>0)
sage: t = var('t')
sage: g(t) = sum(t^(8*n),n,0,N)
sage: integral(g(t),t,0,1)
+Infinity

+Infinity