Question Id : 12740 |
Context : JEE Main 2021 (31 August Evening Shift)
If [x] is the greatest integer $\le$ x, then ${\pi ^2}\int\limits_0^2 {\left( {\sin {{\pi x} \over 2}} \right)(x - [x]} {)^{[x]}}dx$ is equal to :
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2