Integrating for Area: Solving a Geometric Problem

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Homework Help Overview

The discussion revolves around a geometric problem involving integration to find an area, as presented in an attachment. The original poster shares their representation of the enclosed region and references a textbook answer.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the correctness of the original poster's answer and the potential for a typographical error in the textbook. There is also a mention of the integration process for the function 1/x and its evaluation.

Discussion Status

Some participants express agreement with the original poster's approach, while others raise questions about the notation used in the integration process. The conversation appears to be productive, with participants exploring different interpretations of the problem.

Contextual Notes

There is a reference to an attachment containing diagrams and the problem statement, which may be crucial for understanding the context fully. The discussion also hints at a potential discrepancy between the original poster's answer and the textbook's answer.

odolwa99
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Homework Statement



Hello. Please refer to attachment for the question. Also, in the attachment, the diagram on the left was included with the question, whereas the diagram on the right is my attempt at representing the enclosed region, asked for in the statement.

Homework Equations





The Attempt at a Solution



Please see attachment.

The final answer, according to the textbook, is 1/4 + ln4.

Thank you.
 

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Your answer is correct.
 
Your answer looks correct to me, I think it's a book typo.

The only i will say is that when you have integrate 1/x you write x^0 evaluate between 1 and 4, but then you evaluate it between natural logarithm. You shouldn't write x^0. The integral of 1/x is just ln(x).
 
Great. Thanks guys.
 

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