Prove the inequalities: \( \mathrm{P} \) (a) \( \frac{\pi}{6}\int_{...
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0Prove the inequalities:
\( \mathrm{P} \)
(a) \( \frac{\pi}{6}\int_{0}^{1} \frac{d x}{\sqrt{4-x^{2}-x^{3}}}\frac{\pi \sqrt{2}}{8} \)
(b) \( 2 \mathrm{e}^{-1 / 4}\int_{0}^{2} \mathrm{e}^{\mathrm{x}^{2}-\mathrm{x}} \mathrm{dx}2 \mathrm{e}^{2} \).
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