JEE Main 31-Aug-2021 Shift 2 Solved Paper

Section: Mathematics

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Question : 79 of 90

Marks: +1, -0

If [x] is the greatest integer ≤x, then π2‌

2

∫

0

(sin‌

πx

2

)(x−|x|)[x]dx is equal to

[31 Aug 2021 Shift 2]

2(π−1)
4(π−1)
4(π+1)
2(π+1)

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