With partial fraction decomposition the following rational expression can be as 110 A B (æ + 3)(x2 + 2) x + 3 x² + 2 where A = B = Note that A and B could be expressions involving x and not just constants. Now use your result from above to find the indefinite integral. Use C for any constant of integration. 110 dx (x + 3)(x² + 2)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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With partial fraction decomposition the following rational expression can be as
110
В
(x + 3)(x² + 2)
x + 3
x2 + 2
where
A =
В —
Note that A and B could be expressions involving x and not just constants.
Now use your result from above to find the indefinite integral.
Use C for any constant of integration.
110
dx =
(x + 3)(x² + 2)
Transcribed Image Text:With partial fraction decomposition the following rational expression can be as 110 В (x + 3)(x² + 2) x + 3 x2 + 2 where A = В — Note that A and B could be expressions involving x and not just constants. Now use your result from above to find the indefinite integral. Use C for any constant of integration. 110 dx = (x + 3)(x² + 2)
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