$$$\frac{\sin{\left(r \right)}}{r}$$$ 的积分
您的输入
求$$$\int \frac{\sin{\left(r \right)}}{r}\, dr$$$。
解答
该积分(正弦积分)没有闭式表达式:
$${\color{red}{\int{\frac{\sin{\left(r \right)}}{r} d r}}} = {\color{red}{\operatorname{Si}{\left(r \right)}}}$$
因此,
$$\int{\frac{\sin{\left(r \right)}}{r} d r} = \operatorname{Si}{\left(r \right)}$$
加上积分常数:
$$\int{\frac{\sin{\left(r \right)}}{r} d r} = \operatorname{Si}{\left(r \right)}+C$$
答案
$$$\int \frac{\sin{\left(r \right)}}{r}\, dr = \operatorname{Si}{\left(r \right)} + C$$$A