Small changes in numbers in an integrand can result in very different methods required for integration. Consider the integral below. Assume b #0 but b could be positive or negative in the answers below. 1 x² - 6x +b -dx 1. What value of b would result in a u-substitution method where the power rule would be used? 2. What is one possible value of b where a u-substitution method is used resulting in an arctangent? 3. What is one possible value of b that would result in a partial fraction decomposition method being used? 4. Evaluate the integral with the b value that results in a partial fraction decomposition method. Show detailed work for evaluating the integral and finding the decomposition.

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