JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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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 of the following is true?

View answer and explanation

Correct option: B

I<\frac{2}{3}

and

J<2

The correct answer is B (

I<\frac{2}{3}

and

J<2

) because by comparing the integrands with simpler functions and integrating, we can establish the inequalities.

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