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Definite Integration question

2022 · 27 Jul · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 27 Jul · Shift 2 · Q38

Definite Integration question

2022 · 27 Jul · Shift 2 · Q38

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

f(x)=\min \{[x-1],[x-2], \ldots,[x-10]\}

where [t] denotes the greatest integer

\leq \mathrm{t}

. Then

\int\limits_{0}^{10} f(x) \mathrm{d} x+\int\limits_{0}^{10}(f(x))^{2} \mathrm{~d} x+\int\limits_{0}^{10}|f(x)| \mathrm{d} x

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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