If In=int0^(pi/2) x^n sinx dx, then [I4+...

If `I_n=int_0^(pi/2) x^n sinx dx`, then `[I_4+12I_2]` is equal to (A) `4pi` (B) `3(pi/2)^3` (C) `(pi/2)^2` (D) `4(pi/2)^3`

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