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You Want to Estimate 01cos(θ2)dθ\int_{0}^{1} \cos \left(\theta^{2}\right) d \theta By Finding Values, a and B, Such That

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You want to estimate 01cos(θ2) dθ\int_{0}^{1} \cos \left(\theta^{2}\right) d \theta by finding values, A and B, such that A<01cosA<\int_{0}^{1} \cos (θ2) dθ\left(\theta^{2}\right) d \theta < B , with BAB-A being as small as possible.Which method should you use to find A?


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