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

[tjohn101]

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)]
<br /> \int^{ln(9)}_{0}e^x dx<br />
= [e^ln(9)]-[e⁰]
= [9]-[1]
= 8 square unitsThere's no way it was that easy... Did I mess up somewhere?

 

[Dick]

Not all problems have to be hard.

 

[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.

 

[Dick]

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.

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