JEE Math Practice Question
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 :
- A.2($$\pi$$ $$-$$ 1)
- B.4($$\pi$$ $$-$$ 1)
- C.4($$\pi$$ + 1)
- D.2($$\pi$$ + 1)
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