# Area bounded by graphs

• February 11th 2009, 05:24 PM
nystudent2729
Area bounded by graphs
The area bounded by the graphs of y=e^(-2x),
y=-e^(x), x=0, and x=2 is what?
I am having a hard time integrating. Thanks for the help.
• February 11th 2009, 05:41 PM
GaloisTheory1
Quote:

Originally Posted by nystudent2729
The area bounded by the graphs of y=e^(-2x),
y=-e^(x), x=0, and x=2 is what?
I am having a hard time integrating. Thanks for the help.

clearly $y=e^{-2x}$ is greater on this interval by plugging in say 1.

so

$\int e^{-2x} +e^{x}$

Can you integrate this?

Hint
$\int e^{x}=e^{x}$
• February 11th 2009, 05:42 PM
skeeter
top function - bottom function ...

$A = \int_0^2 e^{-2x} - (-e^x) \, dx$