JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

[x]

denotes the greatest integer less than or equal to

x

, then the value of

\int\limits_{1}^5[|x-3|] d x

View answer and explanation

Correct option: B

Option B (2) is correct because by breaking the integral into intervals where the greatest integer function is constant, the integral evaluates to 2.

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