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3 5. [16 pts] Consider the function f(x) = 2 4 5x + 6 3 (a) [6 pts] Determine the partial fraction decomposition of f (x) = x2 + 5x +6' You must show all the intermediate steps.3 (b) [10 pts] Consider the improper integral x2 + 5x + 6 dx. Determine if this integral converges or diverges. If it converges, state its value. In order to earn full credit, you must show all your work, justify any limits you compute and use proper notation

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