Help Calculating Definite Integral

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Homework Help Overview

The discussion revolves around the calculation of a definite integral involving the function (2(x)^2)/((x+1)((x)^2+1)) evaluated from 0 to 1. Participants are examining the transition from an indefinite integral result to a specific expression.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of partial fractions to decompose the integrand. There is a focus on understanding how to manipulate algebraic expressions to arrive at the correct form of the answer.

Discussion Status

Some participants are seeking clarification on the steps taken to reach the final answer, particularly regarding the presence of the number 3 in the expression. Others are questioning the nature of the problem, suggesting that it may involve more algebraic manipulation than calculus.

Contextual Notes

There is a mention of needing to show work to identify potential errors, indicating that participants are encouraged to review their calculations and assumptions. The discussion reflects a mix of algebraic and calculus concepts, with some confusion about the definitions being used.

realism877
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Homework Statement



(2(x)^2)/((x+1)((x)^2+1)) from 0 to 1







The indefinite answer is (1/2)ln2+ln2-(pi/4)

How did it get to this answer?(3/2)ln2-(pi/4)
 
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Use partial fractions to write the integrand as
\frac A {x+1}+\frac{Bx+C}{x^2+1}
 
LCKurtz said:
Use partial fractions to write the integrand as
\frac A {x+1}+\frac{Bx+C}{x^2+1}


I did that.

I already have the solution. I'm just trying to figure out where the 3 came from.
 
Oh my! I thought you had a calculus question about integrating. Instead you have an elementary algebra question. See if you can figure out how to combine like terms and make your answer agree with the given answer.
 
realism877 said:
The indefinite answer is (1/2)ln2+ln2-(pi/4)
What do you mean the indefinite answer? Where are the x's?

You will need to show us your work in how you got to your answer. You might have made an error in your work.
 

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