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