$$$c^{x}$$$ 對 $$$x$$$ 的積分
您的輸入
求$$$\int c^{x}\, dx$$$。
解答
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=c$$$:
$${\color{red}{\int{c^{x} d x}}} = {\color{red}{\frac{c^{x}}{\ln{\left(c \right)}}}}$$
因此,
$$\int{c^{x} d x} = \frac{c^{x}}{\ln{\left(c \right)}}$$
加上積分常數:
$$\int{c^{x} d x} = \frac{c^{x}}{\ln{\left(c \right)}}+C$$
答案
$$$\int c^{x}\, dx = \frac{c^{x}}{\ln\left(c\right)} + C$$$A
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