4 G. Given dr. Using Integration of rational functions, we obtain an equation x² + 5x – 14 -)(22) + A2(- --(24) and A2 --)(23). Solving for A and A2, we get the values -(25). Now, the partial fraction decomposition of 4 = A¡(-- A = ------- %3D 4 the integral is -(26). Therefore, dx = x² + 5x – 14 -(27). a. x +7 4 b. - 9 c. x + 2 4 d. x – 2 4 f. x – 7 4 g. 9 h. x - 2 4 i. 4 In |r – 7| +C 9. In |r + 2| - 9. 4 9. x + 7 4 9 е. 9. In |z-2 -m1z+ 기 +C j. x + 2 x - 7

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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G. ( Please answer all )
4
G. Given
dx. Using Integration of rational functions, we obtain an equation
x² + 5x – 14
4 = Å¡(-------)(22) + A2(-
-)(23). Solving for A and A2, we get the values
--(24) and A2 = -(25). Now, the partial fraction decomposition of
4
Aj = ----
the integral is
-(26). Therefore,
dx =
x² + 5x – 14
----(27).
f. x – 7
a. x +7
4
b.
4
g.
9.
h. x – 2
c. x + 2
4
9
d.
4
In |x + 2|
In r – 7| +C
i.
x – 2
4
x + 7
9
4
9.
4
9
In 1z-2-m1z+ 기 + C
j.
x + 2
е.
9.
x – 7
Transcribed Image Text:4 G. Given dx. Using Integration of rational functions, we obtain an equation x² + 5x – 14 4 = Å¡(-------)(22) + A2(- -)(23). Solving for A and A2, we get the values --(24) and A2 = -(25). Now, the partial fraction decomposition of 4 Aj = ---- the integral is -(26). Therefore, dx = x² + 5x – 14 ----(27). f. x – 7 a. x +7 4 b. 4 g. 9. h. x – 2 c. x + 2 4 9 d. 4 In |x + 2| In r – 7| +C i. x – 2 4 x + 7 9 4 9. 4 9 In 1z-2-m1z+ 기 + C j. x + 2 е. 9. x – 7
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