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

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Homework Help Overview

The discussion revolves around finding the area under the curve of the function g(x) = e^x on the interval [0, ln(9)]. The original poster sets up a definite integral to represent this area and attempts to calculate it using the fundamental theorem of calculus.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to set up the definite integral and calculate the area, expressing uncertainty about the simplicity of the result. Other participants question the nature of the problem, suggesting it may not be as straightforward as it appears.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the problem's simplicity and the original poster's concerns about the difficulty level of the question. There is no explicit consensus on the interpretation of the problem's complexity.

Contextual Notes

The problem is part of a lab assignment worth 15 out of 100 points, and there is a noted expectation that such questions are typically more challenging.

tjohn101
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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.

Homework Equations


The Attempt at a Solution


g(x)=ex [0,ln(9)]
<br /> \int^{ln(9)}_{0}e^x dx<br />
= [eln(9)]-[e0]
= [9]-[1]
= 8 square unitsThere's no way it was that easy... Did I mess up somewhere?
 
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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.
 
tjohn101 said:
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.
 

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