Question: Small changes in numbers in an integrand can result in very different methods required for integration. Consider the integral below. Assume 60 but b

Small changes in numbers in an integrand can result in very different

Small changes in numbers in an integrand can result in very different methods required for integration. Consider the integral below. Assume 60 but b could be positive or negative in the answers below. 1 x-14x+b da 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. Upload your handwritten work for finding the values of b in questions 1-3 along with the work for evaluating the integral in the box below. Show detailed work for evaluating the integral and finding the decomposition.

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