Problem

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

Problem 9 Easy Difficulty

Integrate each of the given functions.
$$\int \frac{8 d x}{x^{2}-4}$$

Answer

$2 \ln \left|\frac{x-2}{x+2}\right|+C$

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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 eight dx upon x squared minus four. This is equal to eight pawn X plus two and two x minus two. So this is written as a bon x plus two Plus B upon X -2. Now, further We have eight equals a into X minus two Plus being two x. So this is X plus two, so value of A is -2 and B is too. Therefore the integration become minus two upon X plus two plus two upon x minus two. Yeah, The X There four days -2. Ellen Mod x plus two Plus two. Ln Model X -2 plus C. Or this is written as twice Ellen Or X -2 -2 minus Ln model X plus two, blessing this is equal to twice. Ellen Model X minus two upon X plus two plus. See this is our answer. Mhm

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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