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$$$\sin{\left(c \right)}$$$の積分
入力内容
$$$\int \sin{\left(c \right)}\, dc$$$ を求めよ。
解答
正弦関数の不定積分は$$$\int{\sin{\left(c \right)} d c} = - \cos{\left(c \right)}$$$です:
$${\color{red}{\int{\sin{\left(c \right)} d c}}} = {\color{red}{\left(- \cos{\left(c \right)}\right)}}$$
したがって、
$$\int{\sin{\left(c \right)} d c} = - \cos{\left(c \right)}$$
積分定数を加える:
$$\int{\sin{\left(c \right)} d c} = - \cos{\left(c \right)}+C$$
解答
$$$\int \sin{\left(c \right)}\, dc = - \cos{\left(c \right)} + C$$$A
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