Question
$51-54$ Use the properties of integrals to verify the inequality.$$\int_{0}^{1} x^{2} \cos x d x \leqslant \frac{1}{3}$$
Step 1
This is because the maximum value of $\cos x$ is 1, and $x^2$ is always non-negative. Therefore, we have the inequality: $$x^2 \cos x \leq x^2$$ Show more…
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