$$$\frac{\cos{\left(x \right)}}{x}$$$ 的積分
您的輸入
求$$$\int \frac{\cos{\left(x \right)}}{x}\, dx$$$。
解答
此積分(餘弦積分)不存在閉式表示:
$${\color{red}{\int{\frac{\cos{\left(x \right)}}{x} d x}}} = {\color{red}{\operatorname{Ci}{\left(x \right)}}}$$
因此,
$$\int{\frac{\cos{\left(x \right)}}{x} d x} = \operatorname{Ci}{\left(x \right)}$$
加上積分常數:
$$\int{\frac{\cos{\left(x \right)}}{x} d x} = \operatorname{Ci}{\left(x \right)}+C$$
答案
$$$\int \frac{\cos{\left(x \right)}}{x}\, dx = \operatorname{Ci}{\left(x \right)} + C$$$A
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