$$$a^{u}$$$ 关于$$$u$$$的积分

该计算器将求出$$$a^{u}$$$关于$$$u$$$的积分/原函数，并显示步骤。

求$$$\int a^{u}\, du$$$。

Apply the exponential rule $$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}$$$ with $$$a=a$$$:

$${\color{red}{\int{a^{u} d u}}} = {\color{red}{\frac{a^{u}}{\ln{\left(a \right)}}}}$$

因此，

$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}$$

加上积分常数：

$$\int{a^{u} d u} = \frac{a^{u}}{\ln{\left(a \right)}}+C$$

$$$\int a^{u}\, du = \frac{a^{u}}{\ln\left(a\right)} + C$$$A

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