$$$\sin{\left(x_{0} \right)}$$$の積分

$$$\int \sin{\left(x_{0} \right)}\, dx_{0}$$$ を求めよ。

正弦関数の不定積分は$$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}$$$です:

$${\color{red}{\int{\sin{\left(x_{0} \right)} d x_{0}}}} = {\color{red}{\left(- \cos{\left(x_{0} \right)}\right)}}$$

したがって、

$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}$$

積分定数を加える:

$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}+C$$

$$$\int \sin{\left(x_{0} \right)}\, dx_{0} = - \cos{\left(x_{0} \right)} + C$$$A