Problem

Integrate each of the given functions. $$\int \fr…

Problem 10 Easy Difficulty

Integrate each of the given functions.
$$\int \frac{p-9}{2 p^{2}-3 p+1} d p$$

Answer

$-8 \ln |p-1|+17 \ln |2 p-1|+C$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 9

Integration by Partial Fractions: Nonrepeated Linear Factors

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Video Transcript

in the problem we have integration B -9 Barn to be squired minus three P plus one Dp. So this is our problem. So here B -9 A. Bar two piece choir minus two P minus B plus one. That community has B -9 upon 20 minus one And two p -1. Therefore this is written as airborne two p -1 plus B upon b minus four. Further B -9 upon The P -1 Into P -1 -1 is equal to AARP on two P minus one plus B upon the minus one. no B -9 equal and two p -1 plus being too two p -1. Therefore value of A is equal to 17 and B is equal to -8. Therefore integration become 17 upon two B -1 -8 upon B -1. Yeah D. P. This is accusing us sending upon to Ellen mud two p -1 minus eight. Ellen mod B -1 Plus C. So this is the answer.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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