Hi. I worked this question many times.

28-2-20

(int)2 sqrt(1 - (e^(-x))) ((e^(-x)) dx)

General Power Formula:

u^(n+1) / (n + 1) = u^n du

Attempt:

u = (1 - e^(-x))

n = 1/2

du = -e^(-x) * - 1

du = e^(-x)

= (1 - e^(-x))^(1/2) / (3/2)

Pretty sure this is the wrong direction though, as the answer according to the Ti-89 is much more elaborate