问题
如何使用分部积分法计算 [$\textcolor{Orange}{\int u \mathrm{d} v}$] ?选项
[A]. $\int$ $u$ $\mathrm{d}$ $v$ $=$ $uv$ $-$ $\int$ $v$ $\mathrm{d}$ $u$[B]. $\int$ $u$ $\mathrm{d}$ $v$ $=$ $uv$ $+$ $\int$ $v$ $\mathrm{d}$ $u$
[C]. $\int$ $u$ $\mathrm{d}$ $v$ $=$ $uv$ $-$ $\int$ $u$ $\mathrm{d}$ $v$
[D]. $\int$ $u$ $\mathrm{d}$ $v$ $=$ $uv$ $-$ $\int$ $v$ $\mathrm{d}$ $v$
$$\int \textcolor{Red}{u} \mathrm{d} \textcolor{Yellow}{v} =$$ $$\textcolor{Red}{uv} \textcolor{Green}{-} \int \textcolor{Red}{v} \mathrm{d} \textcolor{Yellow}{u}.$$