$$$\frac{1}{\ln\left(c\right)}$$$の積分
入力内容
$$$\int \frac{1}{\ln\left(c\right)}\, dc$$$ を求めよ。
解答
この積分(対数積分)には閉形式はありません:
$${\color{red}{\int{\frac{1}{\ln{\left(c \right)}} d c}}} = {\color{red}{\operatorname{li}{\left(c \right)}}}$$
したがって、
$$\int{\frac{1}{\ln{\left(c \right)}} d c} = \operatorname{li}{\left(c \right)}$$
積分定数を加える:
$$\int{\frac{1}{\ln{\left(c \right)}} d c} = \operatorname{li}{\left(c \right)}+C$$
解答
$$$\int \frac{1}{\ln\left(c\right)}\, dc = \operatorname{li}{\left(c \right)} + C$$$A
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