$\mathop \smallint \nolimits_0^{1.5} \,\,\left[ {{x^2}} \right]\,\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \nolimits_0^{1.5} \,\,\left[ {{x^2}} \right]\,\,dx

View answer and explanation

Correct option: C

2\,\, - \,\,\sqrt 2

Option C (

2\,\, - \,\,\sqrt 2

) is correct because the integral of the greatest integer function of x² from 0 to 1.5 is calculated by splitting the integral into intervals where the greatest integer function has a constant value.

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[*]

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