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Integrate each of the given functions.$$\int \frac{4 x^{2}+21 x+6}{(x+2)(x-3)(x+4)} d x$$

$2 \ln |x+2|+3 \ln |x-3|-3 \ln |x+4|+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 9

Integration by Partial Fractions: Nonrepeated Linear Factors

Integrals

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In mathematics, precalculu…

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In mathematics, a function…

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$$\text {Evaluate the foll…

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Use substitution to find e…

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Find each integral.$$\…

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Evaluate the following int…

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in the problem we have to find the the girl which is integration for its Squire Plus 21 x plus six dan X-plus two into X -3 and two. X plus four dx. This is written as Forex Squire plus 21 x plus six bon X plus two into x minus three. And the X-plus four that equals two Upon X-plus two plus B upon x minus three plus C upon X plus four. Now this is written as four X Squire plus 21 X plus six that equals two in two x minus three into X plus four Plus being two x plus two In the X last four Plus seeing two x plus two In the X -3. Now by using his gentle method we obtain the value of A. That equals two, two be equal to 3 & C Equal to -1. Therefore integration becomes two upon x plus two Plus 3. -3 -1 upon x plus four Deluxe there four days twice. Ln more X plus two Plus three. Landmark X -3 minus Ln more X plus four plus C. So this is the final answer.

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