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)
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.
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.
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.
LCKurtz said:Use partial fractions to write the integrand as
\frac A {x+1}+\frac{Bx+C}{x^2+1}
What do you mean the indefinite answer? Where are the x's?realism877 said:The indefinite answer is (1/2)ln2+ln2-(pi/4)