$$$\frac{\sin{\left(x \right)}}{x}$$$ 的積分
您的輸入
求$$$\int \frac{\sin{\left(x \right)}}{x}\, dx$$$。
解答
此積分(正弦積分)不存在閉式表示:
$${\color{red}{\int{\frac{\sin{\left(x \right)}}{x} d x}}} = {\color{red}{\operatorname{Si}{\left(x \right)}}}$$
因此,
$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}$$
加上積分常數:
$$\int{\frac{\sin{\left(x \right)}}{x} d x} = \operatorname{Si}{\left(x \right)}+C$$
答案
$$$\int \frac{\sin{\left(x \right)}}{x}\, dx = \operatorname{Si}{\left(x \right)} + C$$$A
Please try a new game Rotatly