Let $$I=$$∫$$01$$ $$sin$$⁡xxdx and $$J=$$∫$$01$$ $$cos$$⁡xxdx Then which one of the following is true

Correct option is 2I<23 and J < 2

Questions

Let $I = \int_{0}^{1} \frac{\sin x}{\sqrt{x}} d x$ and $J = \int_{0}^{1} \frac{\cos x}{\sqrt{x}} d x$ Then which one of the following is true

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I>23 and J > 2

I<23 and J < 2

I<23 and J > 2

I>23 and J < 2

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detailed solution

Correct option is B

Since sin⁡x0, we getsin⁡xx

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Let I=∫01 sin⁡xxdx and J=∫01 cos⁡xxdx Then which one of the following is true

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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Let $I = \int_{0}^{1} \frac{\sin x}{\sqrt{x}} d x$ and $J = \int_{0}^{1} \frac{\cos x}{\sqrt{x}} d x$ Then which one of the following is true