Question
$51-54$ Use the properties of integrals to verify the inequality.$$\int_{0}^{1} x \sin ^{-1} x d x \leqslant \pi / 4$$
Step 1
Step 1: First, recognize that the function \( x \sin^{-1} x \) is non-negative on the interval \([0, 1]\) because both \( x \) and \( \sin^{-1} x \) are non-negative on this interval. Show more…
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