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 ?
- \(\mathrm{I}>\frac{2}{3} \text { and } \mathrm{J}<2\)
- \(\mathrm{I}>\frac{2}{3} \text { and } \mathrm{J}>2\)
- \(\mathrm{I}<\frac{2}{3} \text { and } \mathrm{J}<2\)
- \(\mathrm{I}<\frac{2}{3} \text { and } \mathrm{J}>2\)
Answer
(C) I < 2 3 and J <2
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