3. a. Use the binomial series (1 +x)" = E()" to first obtain a series for the function Ax) • Recall that e.g., (?) - and also (6) - 1. = (1 + (-x²))-|2. b. Use 6 times the first three terms of from the power series in (a.) to approximate the integral dx. Note this integral equals 6arcsin(x)|j² = r.

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A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question…

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A: The answer provided below has been developed in a clear step by step manner.

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A: soln: step1: write a fx as a power series centered at c=-1fx=22-xwe know general formula power…

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