$$$\sin{\left(t \right)}$$$ 的積分
您的輸入
求$$$\int \sin{\left(t \right)}\, dt$$$。
解答
正弦函數的積分為 $$$\int{\sin{\left(t \right)} d t} = - \cos{\left(t \right)}$$$:
$${\color{red}{\int{\sin{\left(t \right)} d t}}} = {\color{red}{\left(- \cos{\left(t \right)}\right)}}$$
因此,
$$\int{\sin{\left(t \right)} d t} = - \cos{\left(t \right)}$$
加上積分常數:
$$\int{\sin{\left(t \right)} d t} = - \cos{\left(t \right)}+C$$
答案
$$$\int \sin{\left(t \right)}\, dt = - \cos{\left(t \right)} + C$$$A
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