$$$\ln\left(2\right)$$$ 的積分
您的輸入
求$$$\int \ln\left(2\right)\, dx$$$。
解答
配合 $$$c=\ln{\left(2 \right)}$$$,應用常數法則 $$$\int c\, dx = c x$$$:
$${\color{red}{\int{\ln{\left(2 \right)} d x}}} = {\color{red}{x \ln{\left(2 \right)}}}$$
因此,
$$\int{\ln{\left(2 \right)} d x} = x \ln{\left(2 \right)}$$
加上積分常數:
$$\int{\ln{\left(2 \right)} d x} = x \ln{\left(2 \right)}+C$$
答案
$$$\int \ln\left(2\right)\, dx = x \ln\left(2\right) + C$$$A
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