JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

I=\int\limits_{0}^1 \frac{\sin x}{\sqrt{x}} d x

and

J=\int\limits_{0}^1 \frac{\cos x}{\sqrt{x}} d x

. Then which one of the following is true?

View answer and explanation

Correct option: B

< \frac{2}{3}

and J

< 2

Option B (I < 2/3 and J < 2) is correct because it follows from comparing the integrands with simpler functions and evaluating the resulting integrals.

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