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## Homework Statement

g(x)=e

^{x}and the x-axis on the interval [0,ln(9)]

a) Set up definite integral that represents area

b) Find area using fundamental theorem.

## Homework Equations

## The Attempt at a Solution

g(x)=e

^{x}[0,ln(9)]

[tex]

\int^{ln(9)}_{0}e^x dx

[/tex]

= [e

^{ln(9)}]-[e

^{0}]

= [9]-[1]

= 8 square units

There's no way it was that easy... Did I mess up somewhere?