let-give-I-n-1-n-1-1-t-2-dt-1-calculate-I-n-2-find-lim-n-I-n-

Question Number 31466 by abdo imad last updated on 08/Mar/18

l e t g i v e I_{n} = \int_{\frac{1}{n}}^{1} \sqrt{1 + t^{2}} d t

1) c a l c u l a t e I_{n}

2) f i n d {l i m}_{n \to \infty} I_{n} .