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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?


Definitions:

Saccadic Eye Movements

Rapid, ballistic movements of the eyes that abruptly change the point of fixation from one location to another.

Visual Sensations

Experiences derived from the stimulation of the eye's photoreceptors by light, leading to the perception of sight.

Eidetic Imagery

The rare ability to recall images, sounds, or objects in memory with extreme precision and vividness, often referred to as photographic memory.

Visual Memories

The aspect of memory involved in the encoding, storage, and retrieval of visual information, enabling recall of faces, places, objects, and experiences.

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