JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{0}^{11}[x]^3 . d x

, where

[*]

denotes the greatest integer function, is

View answer and explanation

Correct option: D

3025

Option D (3025) is correct because the integral is evaluated by summing the integrals over each integer interval from 0 to 10.

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\int \nolimits_0^\infty \,\,\log \,\,\left( {x + \frac{1}{x}} \right)\,\,\frac{{dx}}{{1 + {x^2}}}

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[*]

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