$$$\tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$ 的积分
您的输入
求$$$\int \tan{\left(\theta \right)} \sec{\left(\theta \right)}\, d\theta$$$。
解答
$$$\tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$ 的积分为 $$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}$$$:
$${\color{red}{\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta}}} = {\color{red}{\sec{\left(\theta \right)}}}$$
因此，
$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}$$
加上积分常数：
$$\int{\tan{\left(\theta \right)} \sec{\left(\theta \right)} d \theta} = \sec{\left(\theta \right)}+C$$
答案
$$$\int \tan{\left(\theta \right)} \sec{\left(\theta \right)}\, d\theta = \sec{\left(\theta \right)} + C$$$A
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