Let I= _ 0 ^ 1 x x d x and J= _ 0 ^ 1 x x d x . Then which one of the following is true?
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(I=\int_{0}^{1} \frac{\sin x}{\sqrt{x}} d x \text { and } J=\int_{0}^{1} \frac{\cos x}{\sqrt{x}} d x\). Then which one of the following is true?
- \(I>\frac{2}{3} \text { and } 1<2\)
- \(t<\frac{2}{3} \text { and } 1<2\)
- \(t<\frac{2}{3} \text { and } \downarrow>2\)
- \(I>\frac{2}{3} \text { and } 1<2\)
Answer
(A) I> 2 3 and 1<2
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