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