Question

Find the area bounded by y = e^-2x, x=0, x=ln2, and the x-axis.

Answer 1

\[A =\int\limits_{0}^{\ln 2} e ^{-2x}dx\]

Answer 2

use u substitution to integrate

Answer 3

I set it up just like that

Answer 4

u=-2x
du = -2dx

A = -1/2integral of e^u = -1/2*e^u

Answer 5

ln(0) doesn't exist.