$$$a^{x}$$$ 关于$$$x$$$的积分
您的输入
求$$$\int a^{x}\, dx$$$。
解答
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=a$$$:
$${\color{red}{\int{a^{x} d x}}} = {\color{red}{\frac{a^{x}}{\ln{\left(a \right)}}}}$$
因此,
$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$
加上积分常数:
$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}+C$$
答案
$$$\int a^{x}\, dx = \frac{a^{x}}{\ln\left(a\right)} + C$$$A
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