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 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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