hi I have an integral in this form:::
NIntegrate[
(5184*(-11 + k*(98 + k*(-16 + k*(-40 + k*(17 + 2*k*(7 + k)))))))/
((1 + E^((1/2)*(-1 + k)))*(1 + k)^3*(-7 + k*(2 + k))^3),
{k, 0, Infinity}]
when i set , MaxRecursion to 12 answer is of the order of 10^11 when set to 30 answer is of order 10^25 when set 40 order is 10^28 when set to 100 and above order is 10^34 and is constant up to 400 but i have an error in answer. what is the correct answer of this integral?
many thanks.
