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 focuses on calculating the definite integral of the function (2(x)^2)/((x+1)((x)^2+1)) from 0 to 1. The correct indefinite integral is established as (1/2)ln2 + ln2 - (pi/4), leading to the conclusion that the final answer simplifies to (3/2)ln2 - (pi/4). Participants emphasize the importance of using partial fractions to decompose the integrand and highlight the necessity of combining like terms to arrive at the correct result.
PREREQUISITESStudents studying calculus, particularly those tackling integration problems, as well as educators looking for examples of integral calculations and algebraic simplifications.
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)