JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Consider

I=\int\limits_{0}^1 \frac{d x}{1+x^2}

Then

I

satisfies

View answer and explanation

Correct option: C

{I} < 1

Option C (

{I} < 1

) is correct because the integrand

\frac{{1}}{{1+x^2}}

is less than 1 over the interval [0, 1], thus the integral must be less than 1.

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