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Integrate each of the given functions.$$\int \frac{x^{3}}{x^{2}+3 x+2} d x$$
$\frac{x^{2}}{2}-3 x+8 \ln |x+2|-\ln |x+1|+C$
Calculus 1 / AB
Chapter 28
Methods of Integration
Section 9
Integration by Partial Fractions: Nonrepeated Linear Factors
Integrals
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
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the problem we have integration X to the power three upon X squared plus three x plus two Dx. So it is written as XQ upon X plus one into X plus two. So further it is written in forms of partial fraction which is written as a pawn X plus one plus B. Upon express to now XQ equal into X-plus two Plus being two x plus one. Further simplifying we obtain the value of A is Call to -1 and B is equal to eight. Therefore integration become minus one upon X plus one day X plus eight. Integration the X upon express to So this is equal to minus Ellen mod X plus one plus eight Ln model X plus two plus C. So this is the overall answer.
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