Posted by Heather on Monday, February 13, 2012 at 1:17am.
What is the area of the region bounded by the graphs y=e^x, y=1, x=1?

AP Calculus AB  Reiny, Monday, February 13, 2012 at 8:18am
I see a thin "triangular" region in quadrant II
form x = 1 to x=0
the "height" is 1  e^x
area = ∫(1  e^x) dx from 1 to 0
= [ x  e^x] from 1 to 0
= 0  1  (1  e^1)
= e^1
or
= 1/e