$$$\tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$ 的積分
相關計算器: 定積分與廣義積分計算器
您的輸入
求$$$\int \tan{\left(\theta \right)} \sec{\left(\theta \right)}\, d\theta$$$。
解答
$$$\tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$ 的積分是 $$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}$$$：
$${\color{red}{\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta}}} = {\color{red}{\sec{\left(\theta \right)}}}$$
因此，
$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}$$
加上積分常數：
$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}+C$$
答案
$$$\int \tan{\left(\theta \right)} \sec{\left(\theta \right)}\, d\theta = \sec{\left(\theta \right)} + C$$$A