Question

antiderivitie of (x^2+1)^.5 with integral from 0 to 2
using fundamental theorms and if not possible, then using riemann sums to approximate

Answer 1

substitute x=sinh u
so sinh^2u +1=cosh^2u

Answer 2

what is sinh u?

Answer 3

ok if you don't know sinh

use this
substitute x=tan u
so tan^2u+1=sec^2u

Answer 4

we never did this? Are you sure that is the main approach?

Answer 5

we learned fundamental theorm part 1 and 2 but never dealt with substitution. Maybe if it is not possible, should we estimate the integral using Riemann sums?

Answer 6

The book's answer is 2.96