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Definite Integration question

2021 · 24 Feb · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 24 Feb · Shift 1 · Q42

Definite Integration question

2021 · 24 Feb · Shift 1 · Q42

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int\limits_{ - a}^a {\left( {\left| x \right| + \left| {x - 2} \right|} \right)} dx = 22

, (a > 2) and [x] denotes the greatest integer

\le

x, then

\int\limits_{ - a}^a {\left( {x + \left[ x \right]} \right)} dx

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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