Calc Chapter 4B

Question

Find the area of the region bounded by the graphs of the equations. Use a graphing utility to graph the region and verify your result.

y = e^−x,  y = 0,  x = a,  x = b

Answer 1

A = ∫_a^b e^-x dx = - e^-x ]_a^b = e^-a - e^-b