不定积分 $\int \frac{1}{x^2}\cos(\frac{1}{x}) dx = (\quad)$

1. A 选项 A $-\sin(\frac{1}{x}) + C$
2. B 选项 B $\sin(\frac{1}{x}) + C$
3. C 选项 C $\frac{1}{x}\sin(\frac{1}{x}) + C$
4. D 选项 D $-\sin(\frac{1}{x})$