$$$\sec{\left(\theta \right)}$$$ の $$$x$$$ に関する積分
入力内容
$$$\int \sec{\left(\theta \right)}\, dx$$$ を求めよ。
解答
$$$c=\sec{\left(\theta \right)}$$$ に対して定数則 $$$\int c\, dx = c x$$$ を適用する:
$${\color{red}{\int{\sec{\left(\theta \right)} d x}}} = {\color{red}{x \sec{\left(\theta \right)}}}$$
したがって、
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}$$
積分定数を加える:
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}+C$$
解答
$$$\int \sec{\left(\theta \right)}\, dx = x \sec{\left(\theta \right)} + C$$$A
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