let-h-t-e-t-e-t-and-for-n-0-we-put-h-n-t-nh-nt-calculate-h-n-t-dt-

Question Number 35611 by abdo mathsup 649 cc last updated on 21/May/18

l e t h (t) = e^{t - e^{t}} a n d f o r n ⩾ 0 w e p u t

h_{n} (t) = n h (n t)

c a l c u l a t e \int_{- \infty}^{+ \infty} h_{n} (t) d t .