Calculus 7.8 Improper Integrals

Calculus: Early Transcendentals 8th Edition by James Stewart

[timmmmmm]

At 43:09 shouldn’t the integral from 1 to t of e^-x be ([e^-t] - [e^-1]) instead of ([e^-1] - [e^-t]) ?

[countin]

how do u simplify -te^t - 1 + e^t in example 2 to te^t?