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

1. Apr 22, 2010

### tjohn101

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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?

2. Apr 22, 2010

### Dick

Not all problems have to be hard.

3. Apr 22, 2010

### tjohn101

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.

4. Apr 22, 2010

### Dick

Maybe. But I don't see how to interpret it as complicated.

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