$$$7^{x}$$$ 的積分
您的輸入
求$$$\int 7^{x}\, dx$$$。
解答
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=7$$$:
$${\color{red}{\int{7^{x} d x}}} = {\color{red}{\frac{7^{x}}{\ln{\left(7 \right)}}}}$$
因此,
$$\int{7^{x} d x} = \frac{7^{x}}{\ln{\left(7 \right)}}$$
加上積分常數:
$$\int{7^{x} d x} = \frac{7^{x}}{\ln{\left(7 \right)}}+C$$
答案
$$$\int 7^{x}\, dx = \frac{7^{x}}{\ln\left(7\right)} + C$$$A
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