dr x* – 10x² + 9

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter7: Polynomial Equations And Factoring
Section: Chapter Questions
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Integration Evaluate the following integrals.

dr
x* – 10x² + 9
Transcribed Image Text:dr x* – 10x² + 9
Expert Solution
Step 1

Given 

The integration is dxx4-10x2+9

Step 2

To use partial fraction  to find integration .

To find factors of x4-10x2+9.

Use x2 = u

u2-10u+9=0u2-9u-u+9=0u(u-9)-1(u-9)=0(u-9)(u-1)=0

so

x2-9(x2-1)=0(x-3)(x+3)(x-1)(x+1)=0

Therefore , The factors are (x+3) ,(x-3),(x-1) and (x+1)

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