apply integrable_norm_iff ?_ |>.mp ?_ |>.neg
N : ℕ
Npos : 0 < N
s : ℂ
s_re_gt : 0 < s.re
⊢ Integrable (fun x => -(↑x ^ (-s - 1) * ↑x.log)) (volume.restrict (Ioi ↑N))
N : ℕ
Npos : 0 < N
s : ℂ
s_re_gt : 0 < s.re
⊢ AEStronglyMeasurable (fun x => ↑x ^ (-s - 1) * ↑x.log) (volume.restrict (Ioi ↑N))

N : ℕ
Npos : 0 < N
s : ℂ
s_re_gt : 0 < s.re
⊢ Integrable (fun a => ‖↑a ^ (-s - 1) * ↑a.log‖) (volume.restrict (Ioi ↑N))