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Small changes in numbers in an integrand can result in very different methods required for...

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Calculus

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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 12 1 x214x b dr 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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