What is the value of \(\int_0^{2\pi}(x-\pi)^2\sin x\,dx\)?

GATE · 2005 · IT

What is the value of ∫02π(x−π)2sin⁡x dx\int_0^{2\pi}(x-\pi)^2\sin x\,dx?

  1. A.

    −1

  2. B.

    0

  3. C.

    1

  4. D.

    π

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