Integral of x^n cos x by repeated integration by parts

1. A.
   $x^{2}\sin x + 2x\cos x - 2\sin x + c$, where c is the constant of integration
2. B.
   $x^{2}\sin x - 2x\cos x - 2\sin x + c$, where $c$ is the constant of integration
3. C.
   $x^{2}\sin x - 2x\cos x + 2\sin x + c$, where c is the constant of integration
4. D.
   $x^{2}\sin x + 2x\cos x + 2\sin x + c$, where c is the constant of integration

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1. A.
   $x^3\sin x + x^2\cos x - 6x\sin x + 6\cos x + c$
2. B.
   $x^3\sin x + 3x^2\sin x - 6x\sin x - 6\cos x + c$
3. C.
   $x^3\sin x + 3x^2\cos x - 6x\sin x - 6\cos x + c$
4. D.
   $x^3\sin x + 3x^2\cos x - 6x\sin x + 6\cos x + c$

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