?(a) Show that \(\cos \left(x^{2}\right) \geqslant \cos x\) for \(0 \leqslant x
Chapter 4, Problem 90(choose chapter or problem)
(a) Show that \(\cos \left(x^{2}\right) \geqslant \cos x\) for \(0 \leqslant x \leqslant 1\).
(b) Deduce that \(\int_{0}^{\pi / 6} \cos \left(x^{2}\right) d x \geqslant \frac{1}{2}\).
Equation Transcription:
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Text Transcription:
cos (x^2) geqslant cos x
0 leqslant x leqslant 1
integral _0 ^pi/6 cos(x^2) dx geqslant 1/2
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