Question:
Which of the following inequalities is/are TRUE?
Which of the following inequalities is/are TRUE?
Updated On: May 13, 2024
- $\int\limits_{0}^{1} x \cos x d x \geq \frac{3}{8}$
- $\int\limits_{0}^{1} x \sin x d x \geq \frac{3}{10}$
- $\int\limits_{0}^{1} x^{2} \cos x d x \geq \frac{1}{2}$
- $\int\limits_{0}^{1} x^{2} \sin x d x \geq \frac{2}{9}$
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The Correct Option is A, B, D
Solution and Explanation
(A) $\int\limits_{0}^{1} x \cos x d x \geq \frac{3}{8}$
(B) $\int\limits_{0}^{1} x \sin x d x \geq \frac{3}{10}$
(D) $\int\limits_{0}^{1} x^{2} \sin x d x \geq \frac{2}{9}$
(B) $\int\limits_{0}^{1} x \sin x d x \geq \frac{3}{10}$
(D) $\int\limits_{0}^{1} x^{2} \sin x d x \geq \frac{2}{9}$
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