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$$$x_{14}^{x}$$$ 對 $$$x$$$ 的積分
您的輸入
求$$$\int x_{14}^{x}\, dx$$$。
解答
Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=x_{14}$$$:
$${\color{red}{\int{x_{14}^{x} d x}}} = {\color{red}{\frac{x_{14}^{x}}{\ln{\left(x_{14} \right)}}}}$$
因此，
$$\int{x_{14}^{x} d x} = \frac{x_{14}^{x}}{\ln{\left(x_{14} \right)}}$$
加上積分常數：
$$\int{x_{14}^{x} d x} = \frac{x_{14}^{x}}{\ln{\left(x_{14} \right)}}+C$$
答案
$$$\int x_{14}^{x}\, dx = \frac{x_{14}^{x}}{\ln\left(x_{14}\right)} + C$$$A
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