JEE Main 22 July 2021 Shift 2 Solved Paper

Section: Mathematics

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Question : 67 of 90

Marks: +1, -0

If

100π

∫

0

sin2x

e(

x

π

[

x

π

])

dx=

απ3

1+4π2

,α∈R where [x] is the greatest integer less than or equal to x, then the value of α is :

[22 Jul 2021 Shift 2]

200(1−e−1)
100(1−e)
50(e−1)
150(e−1−1)

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