If [ · ] represents the greatest integer function, then the value of ∫ 0 π 2 x 2 - cos x d x…

If [·] represents the greatest integer function, then the value of 0π2x2-cosxdx is ___________.

Solution

I=0π/2x2+-cosxdx

=010 dx+1π/2 dx+0π/2-1dx

=π2-1-π2=-1

I=1

Asked in: JEE Main 2021 (17 Mar Shift 1)

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