JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of the integral

\int\limits_1^3 {\left[ {{x^2} - 2x - 2} \right]\,\,\,dx} \,

where

[x]

denotes the greatest integer less than or equal to

x

, is

View answer and explanation

Correct option: B

- \sqrt 2 - \sqrt 3 - 1

Option B (

\ - \sqrt 2 - \sqrt 3 - 1

) is correct because evaluating the definite integral of the greatest integer function results in this value.

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