$$$\cos{\left(t \right)}$$$の積分
入力内容
$$$\int \cos{\left(t \right)}\, dt$$$ を求めよ。
解答
余弦の積分は$$$\int{\cos{\left(t \right)} d t} = \sin{\left(t \right)}$$$:
$${\color{red}{\int{\cos{\left(t \right)} d t}}} = {\color{red}{\sin{\left(t \right)}}}$$
したがって、
$$\int{\cos{\left(t \right)} d t} = \sin{\left(t \right)}$$
積分定数を加える:
$$\int{\cos{\left(t \right)} d t} = \sin{\left(t \right)}+C$$
解答
$$$\int \cos{\left(t \right)}\, dt = \sin{\left(t \right)} + C$$$A
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