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Definite Integration question

2021 · Shift 2 · Q38

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2021 · Shift 2 · Q38

Definite Integration question

2021 · Shift 2 · Q38

JEE AdvancedMathematicsDefinite IntegrationNumerical+4 / −1

For any real number x, let [ x ] denote the largest integer less than or equal to x. If

I = \int\limits_0^{10} {\left[ {\sqrt {{{10x} \over {x + 1}}} } \right]dx}

, then the value of 9I is

\underline{\hspace{2cm}}

.

Numerical answer

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