$$$\sin{\left(a \right)}$$$ 對 $$$x$$$ 的積分
您的輸入
求$$$\int \sin{\left(a \right)}\, dx$$$。
解答
配合 $$$c=\sin{\left(a \right)}$$$,應用常數法則 $$$\int c\, dx = c x$$$:
$${\color{red}{\int{\sin{\left(a \right)} d x}}} = {\color{red}{x \sin{\left(a \right)}}}$$
因此,
$$\int{\sin{\left(a \right)} d x} = x \sin{\left(a \right)}$$
加上積分常數:
$$\int{\sin{\left(a \right)} d x} = x \sin{\left(a \right)}+C$$
答案
$$$\int \sin{\left(a \right)}\, dx = x \sin{\left(a \right)} + C$$$A