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Calculus Level 2

This integral is equal to \(A-B\ln C,\) where \(A,\) \(B,\) and \(C\) are positive integers and \(C\) is prime. What is \(A+B+C\text{?}\) \[\int_0^3\dfrac{2x^3}{x^2+9}\text{ }dx\]

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