# Find area of e^x on interval [0,ln(9)]

## Homework Statement

g(x)=ex and the x-axis on the interval [0,ln(9)]

a) Set up definite integral that represents area
b) Find area using fundamental theorem.

## The Attempt at a Solution

g(x)=ex [0,ln(9)]
$$\int^{ln(9)}_{0}e^x dx$$
= [eln(9)]-[e0]
= [9]-[1]
= 8 square units

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

Dick
Homework Helper
Not all problems have to be hard.

Yeah, I know. :) It's jut that it's worth 15 out of 100 points on our lab and our professor usually makes those questions the most difficult. It's unusual to have one so simple.

Dick