$$$e^{u}$$$ 关于$$$x$$$的积分
您的输入
求$$$\int e^{u}\, dx$$$。
解答
应用常数法则 $$$\int c\, dx = c x$$$,使用 $$$c=e^{u}$$$:
$${\color{red}{\int{e^{u} d x}}} = {\color{red}{x e^{u}}}$$
因此,
$$\int{e^{u} d x} = x e^{u}$$
加上积分常数:
$$\int{e^{u} d x} = x e^{u}+C$$
答案
$$$\int e^{u}\, dx = x e^{u} + C$$$A
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