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

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