$$$\sec{\left(\theta \right)}$$$ 對 $$$x$$$ 的積分
您的輸入
求$$$\int \sec{\left(\theta \right)}\, dx$$$。
解答
配合 $$$c=\sec{\left(\theta \right)}$$$,應用常數法則 $$$\int c\, dx = c x$$$:
$${\color{red}{\int{\sec{\left(\theta \right)} d x}}} = {\color{red}{x \sec{\left(\theta \right)}}}$$
因此,
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}$$
加上積分常數:
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}+C$$
答案
$$$\int \sec{\left(\theta \right)}\, dx = x \sec{\left(\theta \right)} + C$$$A
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