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Definite Integration question

2021 · 17 Mar · Shift 1 · Q40

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JEE Main
Mathematics
Definite Integration
2021 · 17 Mar · Shift 1 · Q40

Definite Integration question

2021 · 17 Mar · Shift 1 · Q40

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If [ . ] represents the greatest integer function, then the value of

\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {\left[ {[{x^2}] - \cos x} \right]dx} } \right|

is

\underline{\hspace{2cm}}

.

Numerical answer

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