Ononot — Approximate the value of \int0^{1/2} \cos(x^2) dx using the

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Power Seriesmedium

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Approximate the value of $\int_0^{1/2} \cos(x^2) dx$ using the first two non-zero terms of its Maclaurin series. What is the value of this approximation, and what is the maximum error guaranteed by the Alternating Series Estimation Theorem?